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Finding the Third Proportional to 4,471.59 and 9,711.42

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Solution

The third proportional to 4,471.59 and 9,711.42 is: 21,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.59 : 9,711.42 = 9,711.42 : x
  2. Step 2: Convert to fraction form
    4,471.59/9,711.42 = 9,711.42/x
  3. Step 3: Cross multiply
    4,471.59x = 9,711.42 × 9,711.42
  4. Step 4: Simplify right side
    4,471.59x = 94,311,714.83
  5. Step 5: Solve for x
    x = 94,311,714.83/4,471.59
  6. Step 6: Final answer
    x = 21,091.30

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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.