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Finding the Third Proportional to 2,439 and 5,294

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Solution

The third proportional to 2,439 and 5,294 is: 11,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439 : 5,294 = 5,294 : x
  2. Step 2: Convert to fraction form
    2,439/5,294 = 5,294/x
  3. Step 3: Cross multiply
    2,439x = 5,294 × 5,294
  4. Step 4: Simplify right side
    2,439x = 28,026,436
  5. Step 5: Solve for x
    x = 28,026,436/2,439
  6. Step 6: Final answer
    x = 11,490.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.