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Finding the Third Proportional to 16,354 and 35,298

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Solution

The third proportional to 16,354 and 35,298 is: 76,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354 : 35,298 = 35,298 : x
  2. Step 2: Convert to fraction form
    16,354/35,298 = 35,298/x
  3. Step 3: Cross multiply
    16,354x = 35,298 × 35,298
  4. Step 4: Simplify right side
    16,354x = 1,245,948,804
  5. Step 5: Solve for x
    x = 1,245,948,804/16,354
  6. Step 6: Final answer
    x = 76,186.18

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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.