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Finding the Third Proportional to 34,662 and 55,113

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Solution

The third proportional to 34,662 and 55,113 is: 87,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,662 : 55,113 = 55,113 : x
  2. Step 2: Convert to fraction form
    34,662/55,113 = 55,113/x
  3. Step 3: Cross multiply
    34,662x = 55,113 × 55,113
  4. Step 4: Simplify right side
    34,662x = 3,037,442,769
  5. Step 5: Solve for x
    x = 3,037,442,769/34,662
  6. Step 6: Final answer
    x = 87,630.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.