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Finding the Third Proportional to 16,166.50 and 35,339

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Solution

The third proportional to 16,166.50 and 35,339 is: 77,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.50 : 35,339 = 35,339 : x
  2. Step 2: Convert to fraction form
    16,166.50/35,339 = 35,339/x
  3. Step 3: Cross multiply
    16,166.50x = 35,339 × 35,339
  4. Step 4: Simplify right side
    16,166.50x = 1,248,844,921
  5. Step 5: Solve for x
    x = 1,248,844,921/16,166.50
  6. Step 6: Final answer
    x = 77,248.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.