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Finding the Third Proportional to 2,197.13 and 5,275.13

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Solution

The third proportional to 2,197.13 and 5,275.13 is: 12,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.13 : 5,275.13 = 5,275.13 : x
  2. Step 2: Convert to fraction form
    2,197.13/5,275.13 = 5,275.13/x
  3. Step 3: Cross multiply
    2,197.13x = 5,275.13 × 5,275.13
  4. Step 4: Simplify right side
    2,197.13x = 27,826,943.77
  5. Step 5: Solve for x
    x = 27,826,943.77/2,197.13
  6. Step 6: Final answer
    x = 12,665.16

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.