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Finding the Third Proportional to 24,740 and 54,160

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Solution

The third proportional to 24,740 and 54,160 is: 118,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740 : 54,160 = 54,160 : x
  2. Step 2: Convert to fraction form
    24,740/54,160 = 54,160/x
  3. Step 3: Cross multiply
    24,740x = 54,160 × 54,160
  4. Step 4: Simplify right side
    24,740x = 2,933,305,600
  5. Step 5: Solve for x
    x = 2,933,305,600/24,740
  6. Step 6: Final answer
    x = 118,565.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.