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Finding the Third Proportional to 9,752.25 and 21,007.31

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Solution

The third proportional to 9,752.25 and 21,007.31 is: 45,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.25 : 21,007.31 = 21,007.31 : x
  2. Step 2: Convert to fraction form
    9,752.25/21,007.31 = 21,007.31/x
  3. Step 3: Cross multiply
    9,752.25x = 21,007.31 × 21,007.31
  4. Step 4: Simplify right side
    9,752.25x = 441,307,178.47
  5. Step 5: Solve for x
    x = 441,307,178.47/9,752.25
  6. Step 6: Final answer
    x = 45,251.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.