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Finding the Third Proportional to 24,149.16 and 51,869.06

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Solution

The third proportional to 24,149.16 and 51,869.06 is: 111,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.16 : 51,869.06 = 51,869.06 : x
  2. Step 2: Convert to fraction form
    24,149.16/51,869.06 = 51,869.06/x
  3. Step 3: Cross multiply
    24,149.16x = 51,869.06 × 51,869.06
  4. Step 4: Simplify right side
    24,149.16x = 2,690,399,644.63
  5. Step 5: Solve for x
    x = 2,690,399,644.63/24,149.16
  6. Step 6: Final answer
    x = 111,407.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.