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Finding the Third Proportional to 3,002.44 and 6,543.19

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Solution

The third proportional to 3,002.44 and 6,543.19 is: 14,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.44 : 6,543.19 = 6,543.19 : x
  2. Step 2: Convert to fraction form
    3,002.44/6,543.19 = 6,543.19/x
  3. Step 3: Cross multiply
    3,002.44x = 6,543.19 × 6,543.19
  4. Step 4: Simplify right side
    3,002.44x = 42,813,302.66
  5. Step 5: Solve for x
    x = 42,813,302.66/3,002.44
  6. Step 6: Final answer
    x = 14,259.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.