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Finding the Third Proportional to 6,229.13 and 13,442.06

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Solution

The third proportional to 6,229.13 and 13,442.06 is: 29,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.13 : 13,442.06 = 13,442.06 : x
  2. Step 2: Convert to fraction form
    6,229.13/13,442.06 = 13,442.06/x
  3. Step 3: Cross multiply
    6,229.13x = 13,442.06 × 13,442.06
  4. Step 4: Simplify right side
    6,229.13x = 180,689,044.25
  5. Step 5: Solve for x
    x = 180,689,044.25/6,229.13
  6. Step 6: Final answer
    x = 29,007.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.