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Finding the Third Proportional to 2,248 and 4,382

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Solution

The third proportional to 2,248 and 4,382 is: 8,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248 : 4,382 = 4,382 : x
  2. Step 2: Convert to fraction form
    2,248/4,382 = 4,382/x
  3. Step 3: Cross multiply
    2,248x = 4,382 × 4,382
  4. Step 4: Simplify right side
    2,248x = 19,201,924
  5. Step 5: Solve for x
    x = 19,201,924/2,248
  6. Step 6: Final answer
    x = 8,541.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.