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Finding the Third Proportional to 24,678.75 and 54,042.75

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Solution

The third proportional to 24,678.75 and 54,042.75 is: 118,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.75 : 54,042.75 = 54,042.75 : x
  2. Step 2: Convert to fraction form
    24,678.75/54,042.75 = 54,042.75/x
  3. Step 3: Cross multiply
    24,678.75x = 54,042.75 × 54,042.75
  4. Step 4: Simplify right side
    24,678.75x = 2,920,618,827.56
  5. Step 5: Solve for x
    x = 2,920,618,827.56/24,678.75
  6. Step 6: Final answer
    x = 118,345.49

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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.