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Finding the Third Proportional to 24,877.13 and 53,723.25

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Solution

The third proportional to 24,877.13 and 53,723.25 is: 116,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,877.13 : 53,723.25 = 53,723.25 : x
  2. Step 2: Convert to fraction form
    24,877.13/53,723.25 = 53,723.25/x
  3. Step 3: Cross multiply
    24,877.13x = 53,723.25 × 53,723.25
  4. Step 4: Simplify right side
    24,877.13x = 2,886,187,590.56
  5. Step 5: Solve for x
    x = 2,886,187,590.56/24,877.13
  6. Step 6: Final answer
    x = 116,017.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.