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Finding the Third Proportional to 24,927.75 and 54,016.88

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Solution

The third proportional to 24,927.75 and 54,016.88 is: 117,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927.75 : 54,016.88 = 54,016.88 : x
  2. Step 2: Convert to fraction form
    24,927.75/54,016.88 = 54,016.88/x
  3. Step 3: Cross multiply
    24,927.75x = 54,016.88 × 54,016.88
  4. Step 4: Simplify right side
    24,927.75x = 2,917,822,784.77
  5. Step 5: Solve for x
    x = 2,917,822,784.77/24,927.75
  6. Step 6: Final answer
    x = 117,051.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.