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Finding the Third Proportional to 39,402 and 59,143

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Solution

The third proportional to 39,402 and 59,143 is: 88,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,402 : 59,143 = 59,143 : x
  2. Step 2: Convert to fraction form
    39,402/59,143 = 59,143/x
  3. Step 3: Cross multiply
    39,402x = 59,143 × 59,143
  4. Step 4: Simplify right side
    39,402x = 3,497,894,449
  5. Step 5: Solve for x
    x = 3,497,894,449/39,402
  6. Step 6: Final answer
    x = 88,774.54

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Why These Related Problems?

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