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Finding the Third Proportional to 5,961.66 and 12,948.47

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Solution

The third proportional to 5,961.66 and 12,948.47 is: 28,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.66 : 12,948.47 = 12,948.47 : x
  2. Step 2: Convert to fraction form
    5,961.66/12,948.47 = 12,948.47/x
  3. Step 3: Cross multiply
    5,961.66x = 12,948.47 × 12,948.47
  4. Step 4: Simplify right side
    5,961.66x = 167,662,842.97
  5. Step 5: Solve for x
    x = 167,662,842.97/5,961.66
  6. Step 6: Final answer
    x = 28,123.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.