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Finding the Third Proportional to 13,984 and 21,294

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Solution

The third proportional to 13,984 and 21,294 is: 32,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 21,294 = 21,294 : x
  2. Step 2: Convert to fraction form
    13,984/21,294 = 21,294/x
  3. Step 3: Cross multiply
    13,984x = 21,294 × 21,294
  4. Step 4: Simplify right side
    13,984x = 453,434,436
  5. Step 5: Solve for x
    x = 453,434,436/13,984
  6. Step 6: Final answer
    x = 32,425.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.