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Finding the Third Proportional to 38,712 and 59,814

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Solution

The third proportional to 38,712 and 59,814 is: 92,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,712 : 59,814 = 59,814 : x
  2. Step 2: Convert to fraction form
    38,712/59,814 = 59,814/x
  3. Step 3: Cross multiply
    38,712x = 59,814 × 59,814
  4. Step 4: Simplify right side
    38,712x = 3,577,714,596
  5. Step 5: Solve for x
    x = 3,577,714,596/38,712
  6. Step 6: Final answer
    x = 92,418.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.