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Finding the Third Proportional to 4,930 and 7,448

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Solution

The third proportional to 4,930 and 7,448 is: 11,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930 : 7,448 = 7,448 : x
  2. Step 2: Convert to fraction form
    4,930/7,448 = 7,448/x
  3. Step 3: Cross multiply
    4,930x = 7,448 × 7,448
  4. Step 4: Simplify right side
    4,930x = 55,472,704
  5. Step 5: Solve for x
    x = 55,472,704/4,930
  6. Step 6: Final answer
    x = 11,252.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.