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Finding the Third Proportional to 16,472 and 34,780

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Solution

The third proportional to 16,472 and 34,780 is: 73,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472 : 34,780 = 34,780 : x
  2. Step 2: Convert to fraction form
    16,472/34,780 = 34,780/x
  3. Step 3: Cross multiply
    16,472x = 34,780 × 34,780
  4. Step 4: Simplify right side
    16,472x = 1,209,648,400
  5. Step 5: Solve for x
    x = 1,209,648,400/16,472
  6. Step 6: Final answer
    x = 73,436.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.