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Finding the Third Proportional to 24,120 and 52,128

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Solution

The third proportional to 24,120 and 52,128 is: 112,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,120 : 52,128 = 52,128 : x
  2. Step 2: Convert to fraction form
    24,120/52,128 = 52,128/x
  3. Step 3: Cross multiply
    24,120x = 52,128 × 52,128
  4. Step 4: Simplify right side
    24,120x = 2,717,328,384
  5. Step 5: Solve for x
    x = 2,717,328,384/24,120
  6. Step 6: Final answer
    x = 112,658.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.