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Finding the Third Proportional to 28,712 and 61,596

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Solution

The third proportional to 28,712 and 61,596 is: 132,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,712 : 61,596 = 61,596 : x
  2. Step 2: Convert to fraction form
    28,712/61,596 = 61,596/x
  3. Step 3: Cross multiply
    28,712x = 61,596 × 61,596
  4. Step 4: Simplify right side
    28,712x = 3,794,067,216
  5. Step 5: Solve for x
    x = 3,794,067,216/28,712
  6. Step 6: Final answer
    x = 132,142.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.