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Finding the Third Proportional to 7,479 and 15,732.56

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Solution

The third proportional to 7,479 and 15,732.56 is: 33,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,479 : 15,732.56 = 15,732.56 : x
  2. Step 2: Convert to fraction form
    7,479/15,732.56 = 15,732.56/x
  3. Step 3: Cross multiply
    7,479x = 15,732.56 × 15,732.56
  4. Step 4: Simplify right side
    7,479x = 247,513,522.82
  5. Step 5: Solve for x
    x = 247,513,522.82/7,479
  6. Step 6: Final answer
    x = 33,094.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.