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Finding the Third Proportional to 6,842.92 and 10,264.38

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Solution

The third proportional to 6,842.92 and 10,264.38 is: 15,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.92 : 10,264.38 = 10,264.38 : x
  2. Step 2: Convert to fraction form
    6,842.92/10,264.38 = 10,264.38/x
  3. Step 3: Cross multiply
    6,842.92x = 10,264.38 × 10,264.38
  4. Step 4: Simplify right side
    6,842.92x = 105,357,434.24
  5. Step 5: Solve for x
    x = 105,357,434.24/6,842.92
  6. Step 6: Final answer
    x = 15,396.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.