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Finding the Third Proportional to 39,395 and 59,291

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Solution

The third proportional to 39,395 and 59,291 is: 89,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,395 : 59,291 = 59,291 : x
  2. Step 2: Convert to fraction form
    39,395/59,291 = 59,291/x
  3. Step 3: Cross multiply
    39,395x = 59,291 × 59,291
  4. Step 4: Simplify right side
    39,395x = 3,515,422,681
  5. Step 5: Solve for x
    x = 3,515,422,681/39,395
  6. Step 6: Final answer
    x = 89,235.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.