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Finding the Third Proportional to 9,934.88 and 21,715.31

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Solution

The third proportional to 9,934.88 and 21,715.31 is: 47,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.88 : 21,715.31 = 21,715.31 : x
  2. Step 2: Convert to fraction form
    9,934.88/21,715.31 = 21,715.31/x
  3. Step 3: Cross multiply
    9,934.88x = 21,715.31 × 21,715.31
  4. Step 4: Simplify right side
    9,934.88x = 471,554,796.97
  5. Step 5: Solve for x
    x = 471,554,796.97/9,934.88
  6. Step 6: Final answer
    x = 47,464.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.