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Finding the Third Proportional to 5,545.13 and 12,013.13

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Solution

The third proportional to 5,545.13 and 12,013.13 is: 26,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.13 : 12,013.13 = 12,013.13 : x
  2. Step 2: Convert to fraction form
    5,545.13/12,013.13 = 12,013.13/x
  3. Step 3: Cross multiply
    5,545.13x = 12,013.13 × 12,013.13
  4. Step 4: Simplify right side
    5,545.13x = 144,315,172.27
  5. Step 5: Solve for x
    x = 144,315,172.27/5,545.13
  6. Step 6: Final answer
    x = 26,025.59

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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.