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Finding the Third Proportional to 6,829.31 and 10,864.13

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Solution

The third proportional to 6,829.31 and 10,864.13 is: 17,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.31 : 10,864.13 = 10,864.13 : x
  2. Step 2: Convert to fraction form
    6,829.31/10,864.13 = 10,864.13/x
  3. Step 3: Cross multiply
    6,829.31x = 10,864.13 × 10,864.13
  4. Step 4: Simplify right side
    6,829.31x = 118,029,212.02
  5. Step 5: Solve for x
    x = 118,029,212.02/6,829.31
  6. Step 6: Final answer
    x = 17,282.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.