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Finding the Third Proportional to 6,781.13 and 16,330.50

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Solution

The third proportional to 6,781.13 and 16,330.50 is: 39,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.13 : 16,330.50 = 16,330.50 : x
  2. Step 2: Convert to fraction form
    6,781.13/16,330.50 = 16,330.50/x
  3. Step 3: Cross multiply
    6,781.13x = 16,330.50 × 16,330.50
  4. Step 4: Simplify right side
    6,781.13x = 266,685,230.25
  5. Step 5: Solve for x
    x = 266,685,230.25/6,781.13
  6. Step 6: Final answer
    x = 39,327.58

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.