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Finding the Third Proportional to 39,188 and 59,602

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Solution

The third proportional to 39,188 and 59,602 is: 90,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,188 : 59,602 = 59,602 : x
  2. Step 2: Convert to fraction form
    39,188/59,602 = 59,602/x
  3. Step 3: Cross multiply
    39,188x = 59,602 × 59,602
  4. Step 4: Simplify right side
    39,188x = 3,552,398,404
  5. Step 5: Solve for x
    x = 3,552,398,404/39,188
  6. Step 6: Final answer
    x = 90,650.16

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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.