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Finding the Third Proportional to 15,367 and 32,371

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Solution

The third proportional to 15,367 and 32,371 is: 68,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,367 : 32,371 = 32,371 : x
  2. Step 2: Convert to fraction form
    15,367/32,371 = 32,371/x
  3. Step 3: Cross multiply
    15,367x = 32,371 × 32,371
  4. Step 4: Simplify right side
    15,367x = 1,047,881,641
  5. Step 5: Solve for x
    x = 1,047,881,641/15,367
  6. Step 6: Final answer
    x = 68,190.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.