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Finding the Third Proportional to 24,670.31 and 54,261.38

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Solution

The third proportional to 24,670.31 and 54,261.38 is: 119,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,670.31 : 54,261.38 = 54,261.38 : x
  2. Step 2: Convert to fraction form
    24,670.31/54,261.38 = 54,261.38/x
  3. Step 3: Cross multiply
    24,670.31x = 54,261.38 × 54,261.38
  4. Step 4: Simplify right side
    24,670.31x = 2,944,296,816.89
  5. Step 5: Solve for x
    x = 2,944,296,816.89/24,670.31
  6. Step 6: Final answer
    x = 119,345.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.