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Finding the Third Proportional to 24,931.78 and 54,017.25

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Solution

The third proportional to 24,931.78 and 54,017.25 is: 117,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,931.78 : 54,017.25 = 54,017.25 : x
  2. Step 2: Convert to fraction form
    24,931.78/54,017.25 = 54,017.25/x
  3. Step 3: Cross multiply
    24,931.78x = 54,017.25 × 54,017.25
  4. Step 4: Simplify right side
    24,931.78x = 2,917,863,297.56
  5. Step 5: Solve for x
    x = 2,917,863,297.56/24,931.78
  6. Step 6: Final answer
    x = 117,033.89

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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.