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Finding the Third Proportional to 29,428 and 37,785

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Solution

The third proportional to 29,428 and 37,785 is: 48,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,428 : 37,785 = 37,785 : x
  2. Step 2: Convert to fraction form
    29,428/37,785 = 37,785/x
  3. Step 3: Cross multiply
    29,428x = 37,785 × 37,785
  4. Step 4: Simplify right side
    29,428x = 1,427,706,225
  5. Step 5: Solve for x
    x = 1,427,706,225/29,428
  6. Step 6: Final answer
    x = 48,515.23

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.