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Finding the Third Proportional to 20,392.25 and 37,817.75

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Solution

The third proportional to 20,392.25 and 37,817.75 is: 70,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,392.25 : 37,817.75 = 37,817.75 : x
  2. Step 2: Convert to fraction form
    20,392.25/37,817.75 = 37,817.75/x
  3. Step 3: Cross multiply
    20,392.25x = 37,817.75 × 37,817.75
  4. Step 4: Simplify right side
    20,392.25x = 1,430,182,215.06
  5. Step 5: Solve for x
    x = 1,430,182,215.06/20,392.25
  6. Step 6: Final answer
    x = 70,133.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.