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Finding the Third Proportional to 6,775.13 and 16,317.94

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Solution

The third proportional to 6,775.13 and 16,317.94 is: 39,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.13 : 16,317.94 = 16,317.94 : x
  2. Step 2: Convert to fraction form
    6,775.13/16,317.94 = 16,317.94/x
  3. Step 3: Cross multiply
    6,775.13x = 16,317.94 × 16,317.94
  4. Step 4: Simplify right side
    6,775.13x = 266,275,084.25
  5. Step 5: Solve for x
    x = 266,275,084.25/6,775.13
  6. Step 6: Final answer
    x = 39,301.87

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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.