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Finding the Third Proportional to 12,400.59 and 29,267.58

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Solution

The third proportional to 12,400.59 and 29,267.58 is: 69,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.59 : 29,267.58 = 29,267.58 : x
  2. Step 2: Convert to fraction form
    12,400.59/29,267.58 = 29,267.58/x
  3. Step 3: Cross multiply
    12,400.59x = 29,267.58 × 29,267.58
  4. Step 4: Simplify right side
    12,400.59x = 856,591,129.30
  5. Step 5: Solve for x
    x = 856,591,129.30/12,400.59
  6. Step 6: Final answer
    x = 69,076.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.