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Finding the Third Proportional to 5,214.38 and 7,950.66

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Solution

The third proportional to 5,214.38 and 7,950.66 is: 12,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.38 : 7,950.66 = 7,950.66 : x
  2. Step 2: Convert to fraction form
    5,214.38/7,950.66 = 7,950.66/x
  3. Step 3: Cross multiply
    5,214.38x = 7,950.66 × 7,950.66
  4. Step 4: Simplify right side
    5,214.38x = 63,212,934.81
  5. Step 5: Solve for x
    x = 63,212,934.81/5,214.38
  6. Step 6: Final answer
    x = 12,122.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.