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Finding the Third Proportional to 29,872.13 and 65,179.13

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Solution

The third proportional to 29,872.13 and 65,179.13 is: 142,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.13 : 65,179.13 = 65,179.13 : x
  2. Step 2: Convert to fraction form
    29,872.13/65,179.13 = 65,179.13/x
  3. Step 3: Cross multiply
    29,872.13x = 65,179.13 × 65,179.13
  4. Step 4: Simplify right side
    29,872.13x = 4,248,318,335.77
  5. Step 5: Solve for x
    x = 4,248,318,335.77/29,872.13
  6. Step 6: Final answer
    x = 142,216.81

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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.