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Finding the Third Proportional to 16,042 and 34,262

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Solution

The third proportional to 16,042 and 34,262 is: 73,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042 : 34,262 = 34,262 : x
  2. Step 2: Convert to fraction form
    16,042/34,262 = 34,262/x
  3. Step 3: Cross multiply
    16,042x = 34,262 × 34,262
  4. Step 4: Simplify right side
    16,042x = 1,173,884,644
  5. Step 5: Solve for x
    x = 1,173,884,644/16,042
  6. Step 6: Final answer
    x = 73,175.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.