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Finding the Third Proportional to 24,269.44 and 51,913.13

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Solution

The third proportional to 24,269.44 and 51,913.13 is: 111,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.44 : 51,913.13 = 51,913.13 : x
  2. Step 2: Convert to fraction form
    24,269.44/51,913.13 = 51,913.13/x
  3. Step 3: Cross multiply
    24,269.44x = 51,913.13 × 51,913.13
  4. Step 4: Simplify right side
    24,269.44x = 2,694,972,547.27
  5. Step 5: Solve for x
    x = 2,694,972,547.27/24,269.44
  6. Step 6: Final answer
    x = 111,043.88

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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.