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Finding the Third Proportional to 10,276.31 and 15,414.66

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Solution

The third proportional to 10,276.31 and 15,414.66 is: 23,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.31 : 15,414.66 = 15,414.66 : x
  2. Step 2: Convert to fraction form
    10,276.31/15,414.66 = 15,414.66/x
  3. Step 3: Cross multiply
    10,276.31x = 15,414.66 × 15,414.66
  4. Step 4: Simplify right side
    10,276.31x = 237,611,627.31
  5. Step 5: Solve for x
    x = 237,611,627.31/10,276.31
  6. Step 6: Final answer
    x = 23,122.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.