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Finding the Third Proportional to 25,836.75 and 29,143.13

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Solution

The third proportional to 25,836.75 and 29,143.13 is: 32,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,836.75 : 29,143.13 = 29,143.13 : x
  2. Step 2: Convert to fraction form
    25,836.75/29,143.13 = 29,143.13/x
  3. Step 3: Cross multiply
    25,836.75x = 29,143.13 × 29,143.13
  4. Step 4: Simplify right side
    25,836.75x = 849,321,734.77
  5. Step 5: Solve for x
    x = 849,321,734.77/25,836.75
  6. Step 6: Final answer
    x = 32,872.62

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.