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Finding the Third Proportional to 4,974.75 and 7,348.22

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Solution

The third proportional to 4,974.75 and 7,348.22 is: 10,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.75 : 7,348.22 = 7,348.22 : x
  2. Step 2: Convert to fraction form
    4,974.75/7,348.22 = 7,348.22/x
  3. Step 3: Cross multiply
    4,974.75x = 7,348.22 × 7,348.22
  4. Step 4: Simplify right side
    4,974.75x = 53,996,318.80
  5. Step 5: Solve for x
    x = 53,996,318.80/4,974.75
  6. Step 6: Final answer
    x = 10,854.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.