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Finding the Third Proportional to 5,382.07 and 6,165.18

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Solution

The third proportional to 5,382.07 and 6,165.18 is: 7,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.07 : 6,165.18 = 6,165.18 : x
  2. Step 2: Convert to fraction form
    5,382.07/6,165.18 = 6,165.18/x
  3. Step 3: Cross multiply
    5,382.07x = 6,165.18 × 6,165.18
  4. Step 4: Simplify right side
    5,382.07x = 38,009,392.41
  5. Step 5: Solve for x
    x = 38,009,392.41/5,382.07
  6. Step 6: Final answer
    x = 7,062.23

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.