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Finding the Third Proportional to 16,374 and 35,334

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Solution

The third proportional to 16,374 and 35,334 is: 76,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374 : 35,334 = 35,334 : x
  2. Step 2: Convert to fraction form
    16,374/35,334 = 35,334/x
  3. Step 3: Cross multiply
    16,374x = 35,334 × 35,334
  4. Step 4: Simplify right side
    16,374x = 1,248,491,556
  5. Step 5: Solve for x
    x = 1,248,491,556/16,374
  6. Step 6: Final answer
    x = 76,248.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.