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Finding the Third Proportional to 9,882 and 21,475.13

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Solution

The third proportional to 9,882 and 21,475.13 is: 46,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882 : 21,475.13 = 21,475.13 : x
  2. Step 2: Convert to fraction form
    9,882/21,475.13 = 21,475.13/x
  3. Step 3: Cross multiply
    9,882x = 21,475.13 × 21,475.13
  4. Step 4: Simplify right side
    9,882x = 461,180,993.77
  5. Step 5: Solve for x
    x = 461,180,993.77/9,882
  6. Step 6: Final answer
    x = 46,668.79

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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.