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Finding the Third Proportional to 39,263 and 59,714

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Solution

The third proportional to 39,263 and 59,714 is: 90,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,263 : 59,714 = 59,714 : x
  2. Step 2: Convert to fraction form
    39,263/59,714 = 59,714/x
  3. Step 3: Cross multiply
    39,263x = 59,714 × 59,714
  4. Step 4: Simplify right side
    39,263x = 3,565,761,796
  5. Step 5: Solve for x
    x = 3,565,761,796/39,263
  6. Step 6: Final answer
    x = 90,817.35

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