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Finding the Third Proportional to 10,579.88 and 22,617.38

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Solution

The third proportional to 10,579.88 and 22,617.38 is: 48,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.88 : 22,617.38 = 22,617.38 : x
  2. Step 2: Convert to fraction form
    10,579.88/22,617.38 = 22,617.38/x
  3. Step 3: Cross multiply
    10,579.88x = 22,617.38 × 22,617.38
  4. Step 4: Simplify right side
    10,579.88x = 511,545,651.89
  5. Step 5: Solve for x
    x = 511,545,651.89/10,579.88
  6. Step 6: Final answer
    x = 48,350.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.