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Finding the Third Proportional to 25,730 and 55,311

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Solution

The third proportional to 25,730 and 55,311 is: 118,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730 : 55,311 = 55,311 : x
  2. Step 2: Convert to fraction form
    25,730/55,311 = 55,311/x
  3. Step 3: Cross multiply
    25,730x = 55,311 × 55,311
  4. Step 4: Simplify right side
    25,730x = 3,059,306,721
  5. Step 5: Solve for x
    x = 3,059,306,721/25,730
  6. Step 6: Final answer
    x = 118,900.38

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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.