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Finding the Third Proportional to 6,339.38 and 9,510.19

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Solution

The third proportional to 6,339.38 and 9,510.19 is: 14,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.38 : 9,510.19 = 9,510.19 : x
  2. Step 2: Convert to fraction form
    6,339.38/9,510.19 = 9,510.19/x
  3. Step 3: Cross multiply
    6,339.38x = 9,510.19 × 9,510.19
  4. Step 4: Simplify right side
    6,339.38x = 90,443,666.29
  5. Step 5: Solve for x
    x = 90,443,666.29/6,339.38
  6. Step 6: Final answer
    x = 14,266.97

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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.