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Finding the Third Proportional to 6,732.75 and 15,724.88

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Solution

The third proportional to 6,732.75 and 15,724.88 is: 36,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.75 : 15,724.88 = 15,724.88 : x
  2. Step 2: Convert to fraction form
    6,732.75/15,724.88 = 15,724.88/x
  3. Step 3: Cross multiply
    6,732.75x = 15,724.88 × 15,724.88
  4. Step 4: Simplify right side
    6,732.75x = 247,271,693.77
  5. Step 5: Solve for x
    x = 247,271,693.77/6,732.75
  6. Step 6: Final answer
    x = 36,726.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.