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Finding the Third Proportional to 5,896.13 and 7,872.19

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Solution

The third proportional to 5,896.13 and 7,872.19 is: 10,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.13 : 7,872.19 = 7,872.19 : x
  2. Step 2: Convert to fraction form
    5,896.13/7,872.19 = 7,872.19/x
  3. Step 3: Cross multiply
    5,896.13x = 7,872.19 × 7,872.19
  4. Step 4: Simplify right side
    5,896.13x = 61,971,336.04
  5. Step 5: Solve for x
    x = 61,971,336.04/5,896.13
  6. Step 6: Final answer
    x = 10,510.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.