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Finding the Third Proportional to 24,758.50 and 54,053

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Solution

The third proportional to 24,758.50 and 54,053 is: 118,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.50 : 54,053 = 54,053 : x
  2. Step 2: Convert to fraction form
    24,758.50/54,053 = 54,053/x
  3. Step 3: Cross multiply
    24,758.50x = 54,053 × 54,053
  4. Step 4: Simplify right side
    24,758.50x = 2,921,726,809
  5. Step 5: Solve for x
    x = 2,921,726,809/24,758.50
  6. Step 6: Final answer
    x = 118,009.04

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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.