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Finding the Third Proportional to 6,922.13 and 16,251.19

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Solution

The third proportional to 6,922.13 and 16,251.19 is: 38,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.13 : 16,251.19 = 16,251.19 : x
  2. Step 2: Convert to fraction form
    6,922.13/16,251.19 = 16,251.19/x
  3. Step 3: Cross multiply
    6,922.13x = 16,251.19 × 16,251.19
  4. Step 4: Simplify right side
    6,922.13x = 264,101,095.16
  5. Step 5: Solve for x
    x = 264,101,095.16/6,922.13
  6. Step 6: Final answer
    x = 38,153.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.