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Finding the Third Proportional to 3,044.30 and 6,543.52

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Solution

The third proportional to 3,044.30 and 6,543.52 is: 14,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.30 : 6,543.52 = 6,543.52 : x
  2. Step 2: Convert to fraction form
    3,044.30/6,543.52 = 6,543.52/x
  3. Step 3: Cross multiply
    3,044.30x = 6,543.52 × 6,543.52
  4. Step 4: Simplify right side
    3,044.30x = 42,817,596.73
  5. Step 5: Solve for x
    x = 42,817,596.73/3,044.30
  6. Step 6: Final answer
    x = 14,064.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.