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Finding the Third Proportional to 17,689 and 27,461

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Solution

The third proportional to 17,689 and 27,461 is: 42,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689 : 27,461 = 27,461 : x
  2. Step 2: Convert to fraction form
    17,689/27,461 = 27,461/x
  3. Step 3: Cross multiply
    17,689x = 27,461 × 27,461
  4. Step 4: Simplify right side
    17,689x = 754,106,521
  5. Step 5: Solve for x
    x = 754,106,521/17,689
  6. Step 6: Final answer
    x = 42,631.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.