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Finding the Third Proportional to 4,471.24 and 9,711.35

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Solution

The third proportional to 4,471.24 and 9,711.35 is: 21,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.24 : 9,711.35 = 9,711.35 : x
  2. Step 2: Convert to fraction form
    4,471.24/9,711.35 = 9,711.35/x
  3. Step 3: Cross multiply
    4,471.24x = 9,711.35 × 9,711.35
  4. Step 4: Simplify right side
    4,471.24x = 94,310,349.17
  5. Step 5: Solve for x
    x = 94,310,349.17/4,471.24
  6. Step 6: Final answer
    x = 21,092.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.