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Finding the Third Proportional to 24,442 and 37,785

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Solution

The third proportional to 24,442 and 37,785 is: 58,412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442 : 37,785 = 37,785 : x
  2. Step 2: Convert to fraction form
    24,442/37,785 = 37,785/x
  3. Step 3: Cross multiply
    24,442x = 37,785 × 37,785
  4. Step 4: Simplify right side
    24,442x = 1,427,706,225
  5. Step 5: Solve for x
    x = 1,427,706,225/24,442
  6. Step 6: Final answer
    x = 58,412.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.