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Finding the Third Proportional to 6,221.18 and 13,490.30

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Solution

The third proportional to 6,221.18 and 13,490.30 is: 29,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.18 : 13,490.30 = 13,490.30 : x
  2. Step 2: Convert to fraction form
    6,221.18/13,490.30 = 13,490.30/x
  3. Step 3: Cross multiply
    6,221.18x = 13,490.30 × 13,490.30
  4. Step 4: Simplify right side
    6,221.18x = 181,988,109.78
  5. Step 5: Solve for x
    x = 181,988,109.78/6,221.18
  6. Step 6: Final answer
    x = 29,252.99

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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.