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Finding the Third Proportional to 5,995.41 and 9,384.47

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Solution

The third proportional to 5,995.41 and 9,384.47 is: 14,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.41 : 9,384.47 = 9,384.47 : x
  2. Step 2: Convert to fraction form
    5,995.41/9,384.47 = 9,384.47/x
  3. Step 3: Cross multiply
    5,995.41x = 9,384.47 × 9,384.47
  4. Step 4: Simplify right side
    5,995.41x = 88,068,253.72
  5. Step 5: Solve for x
    x = 88,068,253.72/5,995.41
  6. Step 6: Final answer
    x = 14,689.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.