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Finding the Third Proportional to 25,750 and 55,712

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Solution

The third proportional to 25,750 and 55,712 is: 120,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,750 : 55,712 = 55,712 : x
  2. Step 2: Convert to fraction form
    25,750/55,712 = 55,712/x
  3. Step 3: Cross multiply
    25,750x = 55,712 × 55,712
  4. Step 4: Simplify right side
    25,750x = 3,103,826,944
  5. Step 5: Solve for x
    x = 3,103,826,944/25,750
  6. Step 6: Final answer
    x = 120,536.97

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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.