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Finding the Third Proportional to 5,616.47 and 12,012.13

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Solution

The third proportional to 5,616.47 and 12,012.13 is: 25,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.47 : 12,012.13 = 12,012.13 : x
  2. Step 2: Convert to fraction form
    5,616.47/12,012.13 = 12,012.13/x
  3. Step 3: Cross multiply
    5,616.47x = 12,012.13 × 12,012.13
  4. Step 4: Simplify right side
    5,616.47x = 144,291,170.48
  5. Step 5: Solve for x
    x = 144,291,170.48/5,616.47
  6. Step 6: Final answer
    x = 25,690.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.