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Finding the Third Proportional to 24,815 and 54,091.50

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Solution

The third proportional to 24,815 and 54,091.50 is: 117,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815 : 54,091.50 = 54,091.50 : x
  2. Step 2: Convert to fraction form
    24,815/54,091.50 = 54,091.50/x
  3. Step 3: Cross multiply
    24,815x = 54,091.50 × 54,091.50
  4. Step 4: Simplify right side
    24,815x = 2,925,890,372.25
  5. Step 5: Solve for x
    x = 2,925,890,372.25/24,815
  6. Step 6: Final answer
    x = 117,908.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.