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Finding the Third Proportional to 9,924.75 and 14,338.13

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Solution

The third proportional to 9,924.75 and 14,338.13 is: 20,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.75 : 14,338.13 = 14,338.13 : x
  2. Step 2: Convert to fraction form
    9,924.75/14,338.13 = 14,338.13/x
  3. Step 3: Cross multiply
    9,924.75x = 14,338.13 × 14,338.13
  4. Step 4: Simplify right side
    9,924.75x = 205,581,828.52
  5. Step 5: Solve for x
    x = 205,581,828.52/9,924.75
  6. Step 6: Final answer
    x = 20,714.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.