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Finding the Third Proportional to 25,327 and 55,113

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Solution

The third proportional to 25,327 and 55,113 is: 119,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,327 : 55,113 = 55,113 : x
  2. Step 2: Convert to fraction form
    25,327/55,113 = 55,113/x
  3. Step 3: Cross multiply
    25,327x = 55,113 × 55,113
  4. Step 4: Simplify right side
    25,327x = 3,037,442,769
  5. Step 5: Solve for x
    x = 3,037,442,769/25,327
  6. Step 6: Final answer
    x = 119,929.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.