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Finding the Third Proportional to 6,180.47 and 13,537.13

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Solution

The third proportional to 6,180.47 and 13,537.13 is: 29,650.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.47 : 13,537.13 = 13,537.13 : x
  2. Step 2: Convert to fraction form
    6,180.47/13,537.13 = 13,537.13/x
  3. Step 3: Cross multiply
    6,180.47x = 13,537.13 × 13,537.13
  4. Step 4: Simplify right side
    6,180.47x = 183,253,753.27
  5. Step 5: Solve for x
    x = 183,253,753.27/6,180.47
  6. Step 6: Final answer
    x = 29,650.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.