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Finding the Third Proportional to 36,476 and 79,342

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Solution

The third proportional to 36,476 and 79,342 is: 172,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,476 : 79,342 = 79,342 : x
  2. Step 2: Convert to fraction form
    36,476/79,342 = 79,342/x
  3. Step 3: Cross multiply
    36,476x = 79,342 × 79,342
  4. Step 4: Simplify right side
    36,476x = 6,295,152,964
  5. Step 5: Solve for x
    x = 6,295,152,964/36,476
  6. Step 6: Final answer
    x = 172,583.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.