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Finding the Third Proportional to 5,806.13 and 12,535.13

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Solution

The third proportional to 5,806.13 and 12,535.13 is: 27,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.13 : 12,535.13 = 12,535.13 : x
  2. Step 2: Convert to fraction form
    5,806.13/12,535.13 = 12,535.13/x
  3. Step 3: Cross multiply
    5,806.13x = 12,535.13 × 12,535.13
  4. Step 4: Simplify right side
    5,806.13x = 157,129,358.77
  5. Step 5: Solve for x
    x = 157,129,358.77/5,806.13
  6. Step 6: Final answer
    x = 27,062.69

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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.