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Finding the Third Proportional to 17,869.50 and 26,269

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Solution

The third proportional to 17,869.50 and 26,269 is: 38,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.50 : 26,269 = 26,269 : x
  2. Step 2: Convert to fraction form
    17,869.50/26,269 = 26,269/x
  3. Step 3: Cross multiply
    17,869.50x = 26,269 × 26,269
  4. Step 4: Simplify right side
    17,869.50x = 690,060,361
  5. Step 5: Solve for x
    x = 690,060,361/17,869.50
  6. Step 6: Final answer
    x = 38,616.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.