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Finding the Third Proportional to 10,730 and 25,847

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Solution

The third proportional to 10,730 and 25,847 is: 62,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730 : 25,847 = 25,847 : x
  2. Step 2: Convert to fraction form
    10,730/25,847 = 25,847/x
  3. Step 3: Cross multiply
    10,730x = 25,847 × 25,847
  4. Step 4: Simplify right side
    10,730x = 668,067,409
  5. Step 5: Solve for x
    x = 668,067,409/10,730
  6. Step 6: Final answer
    x = 62,261.64

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.