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Finding the Third Proportional to 5,922.84 and 9,869.77

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Solution

The third proportional to 5,922.84 and 9,869.77 is: 16,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.84 : 9,869.77 = 9,869.77 : x
  2. Step 2: Convert to fraction form
    5,922.84/9,869.77 = 9,869.77/x
  3. Step 3: Cross multiply
    5,922.84x = 9,869.77 × 9,869.77
  4. Step 4: Simplify right side
    5,922.84x = 97,412,273.49
  5. Step 5: Solve for x
    x = 97,412,273.49/5,922.84
  6. Step 6: Final answer
    x = 16,446.88

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.