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Finding the Third Proportional to 16,219.97 and 34,864.88

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Solution

The third proportional to 16,219.97 and 34,864.88 is: 74,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.97 : 34,864.88 = 34,864.88 : x
  2. Step 2: Convert to fraction form
    16,219.97/34,864.88 = 34,864.88/x
  3. Step 3: Cross multiply
    16,219.97x = 34,864.88 × 34,864.88
  4. Step 4: Simplify right side
    16,219.97x = 1,215,559,508.77
  5. Step 5: Solve for x
    x = 1,215,559,508.77/16,219.97
  6. Step 6: Final answer
    x = 74,942.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.