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Finding the Third Proportional to 5,022.75 and 7,959.38

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Solution

The third proportional to 5,022.75 and 7,959.38 is: 12,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.75 : 7,959.38 = 7,959.38 : x
  2. Step 2: Convert to fraction form
    5,022.75/7,959.38 = 7,959.38/x
  3. Step 3: Cross multiply
    5,022.75x = 7,959.38 × 7,959.38
  4. Step 4: Simplify right side
    5,022.75x = 63,351,650.39
  5. Step 5: Solve for x
    x = 63,351,650.39/5,022.75
  6. Step 6: Final answer
    x = 12,612.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.