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Finding the Third Proportional to 37,017 and 57,793.50

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Solution

The third proportional to 37,017 and 57,793.50 is: 90,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,017 : 57,793.50 = 57,793.50 : x
  2. Step 2: Convert to fraction form
    37,017/57,793.50 = 57,793.50/x
  3. Step 3: Cross multiply
    37,017x = 57,793.50 × 57,793.50
  4. Step 4: Simplify right side
    37,017x = 3,340,088,642.25
  5. Step 5: Solve for x
    x = 3,340,088,642.25/37,017
  6. Step 6: Final answer
    x = 90,231.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.