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Finding the Third Proportional to 25,016 and 41,703

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Solution

The third proportional to 25,016 and 41,703 is: 69,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,016 : 41,703 = 41,703 : x
  2. Step 2: Convert to fraction form
    25,016/41,703 = 41,703/x
  3. Step 3: Cross multiply
    25,016x = 41,703 × 41,703
  4. Step 4: Simplify right side
    25,016x = 1,739,140,209
  5. Step 5: Solve for x
    x = 1,739,140,209/25,016
  6. Step 6: Final answer
    x = 69,521.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.