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Finding the Third Proportional to 39,138 and 59,457

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Solution

The third proportional to 39,138 and 59,457 is: 90,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,138 : 59,457 = 59,457 : x
  2. Step 2: Convert to fraction form
    39,138/59,457 = 59,457/x
  3. Step 3: Cross multiply
    39,138x = 59,457 × 59,457
  4. Step 4: Simplify right side
    39,138x = 3,535,134,849
  5. Step 5: Solve for x
    x = 3,535,134,849/39,138
  6. Step 6: Final answer
    x = 90,324.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.