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Finding the Third Proportional to 13,484 and 28,642

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Solution

The third proportional to 13,484 and 28,642 is: 60,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484 : 28,642 = 28,642 : x
  2. Step 2: Convert to fraction form
    13,484/28,642 = 28,642/x
  3. Step 3: Cross multiply
    13,484x = 28,642 × 28,642
  4. Step 4: Simplify right side
    13,484x = 820,364,164
  5. Step 5: Solve for x
    x = 820,364,164/13,484
  6. Step 6: Final answer
    x = 60,839.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.