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Finding the Third Proportional to 3,187.94 and 4,948.22

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Solution

The third proportional to 3,187.94 and 4,948.22 is: 7,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.94 : 4,948.22 = 4,948.22 : x
  2. Step 2: Convert to fraction form
    3,187.94/4,948.22 = 4,948.22/x
  3. Step 3: Cross multiply
    3,187.94x = 4,948.22 × 4,948.22
  4. Step 4: Simplify right side
    3,187.94x = 24,484,868.80
  5. Step 5: Solve for x
    x = 24,484,868.80/3,187.94
  6. Step 6: Final answer
    x = 7,680.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.