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Finding the Third Proportional to 39,262 and 59,712

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Solution

The third proportional to 39,262 and 59,712 is: 90,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,262 : 59,712 = 59,712 : x
  2. Step 2: Convert to fraction form
    39,262/59,712 = 59,712/x
  3. Step 3: Cross multiply
    39,262x = 59,712 × 59,712
  4. Step 4: Simplify right side
    39,262x = 3,565,522,944
  5. Step 5: Solve for x
    x = 3,565,522,944/39,262
  6. Step 6: Final answer
    x = 90,813.58

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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.