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Finding the Third Proportional to 5,010.19 and 6,543.28

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Solution

The third proportional to 5,010.19 and 6,543.28 is: 8,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.19 : 6,543.28 = 6,543.28 : x
  2. Step 2: Convert to fraction form
    5,010.19/6,543.28 = 6,543.28/x
  3. Step 3: Cross multiply
    5,010.19x = 6,543.28 × 6,543.28
  4. Step 4: Simplify right side
    5,010.19x = 42,814,529.52
  5. Step 5: Solve for x
    x = 42,814,529.52/5,010.19
  6. Step 6: Final answer
    x = 8,545.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.