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Finding the Third Proportional to 10,190.25 and 16,368.75

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Solution

The third proportional to 10,190.25 and 16,368.75 is: 26,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.25 : 16,368.75 = 16,368.75 : x
  2. Step 2: Convert to fraction form
    10,190.25/16,368.75 = 16,368.75/x
  3. Step 3: Cross multiply
    10,190.25x = 16,368.75 × 16,368.75
  4. Step 4: Simplify right side
    10,190.25x = 267,935,976.56
  5. Step 5: Solve for x
    x = 267,935,976.56/10,190.25
  6. Step 6: Final answer
    x = 26,293.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.