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Finding the Third Proportional to 39,062 and 58,426

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Solution

The third proportional to 39,062 and 58,426 is: 87,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,062 : 58,426 = 58,426 : x
  2. Step 2: Convert to fraction form
    39,062/58,426 = 58,426/x
  3. Step 3: Cross multiply
    39,062x = 58,426 × 58,426
  4. Step 4: Simplify right side
    39,062x = 3,413,597,476
  5. Step 5: Solve for x
    x = 3,413,597,476/39,062
  6. Step 6: Final answer
    x = 87,389.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.