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Finding the Third Proportional to 9,248 and 10,048

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Solution

The third proportional to 9,248 and 10,048 is: 10,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248 : 10,048 = 10,048 : x
  2. Step 2: Convert to fraction form
    9,248/10,048 = 10,048/x
  3. Step 3: Cross multiply
    9,248x = 10,048 × 10,048
  4. Step 4: Simplify right side
    9,248x = 100,962,304
  5. Step 5: Solve for x
    x = 100,962,304/9,248
  6. Step 6: Final answer
    x = 10,917.20

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.