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Finding the Third Proportional to 16,458 and 23,940

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Solution

The third proportional to 16,458 and 23,940 is: 34,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458 : 23,940 = 23,940 : x
  2. Step 2: Convert to fraction form
    16,458/23,940 = 23,940/x
  3. Step 3: Cross multiply
    16,458x = 23,940 × 23,940
  4. Step 4: Simplify right side
    16,458x = 573,123,600
  5. Step 5: Solve for x
    x = 573,123,600/16,458
  6. Step 6: Final answer
    x = 34,823.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.