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Finding the Third Proportional to 6,247.13 and 13,530.80

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Solution

The third proportional to 6,247.13 and 13,530.80 is: 29,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247.13 : 13,530.80 = 13,530.80 : x
  2. Step 2: Convert to fraction form
    6,247.13/13,530.80 = 13,530.80/x
  3. Step 3: Cross multiply
    6,247.13x = 13,530.80 × 13,530.80
  4. Step 4: Simplify right side
    6,247.13x = 183,082,464.07
  5. Step 5: Solve for x
    x = 183,082,464.07/6,247.13
  6. Step 6: Final answer
    x = 29,306.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.