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Finding the Third Proportional to 16,102.50 and 34,329

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Solution

The third proportional to 16,102.50 and 34,329 is: 73,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.50 : 34,329 = 34,329 : x
  2. Step 2: Convert to fraction form
    16,102.50/34,329 = 34,329/x
  3. Step 3: Cross multiply
    16,102.50x = 34,329 × 34,329
  4. Step 4: Simplify right side
    16,102.50x = 1,178,480,241
  5. Step 5: Solve for x
    x = 1,178,480,241/16,102.50
  6. Step 6: Final answer
    x = 73,186.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.