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Finding the Third Proportional to 36,476 and 79,540

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Solution

The third proportional to 36,476 and 79,540 is: 173,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,476 : 79,540 = 79,540 : x
  2. Step 2: Convert to fraction form
    36,476/79,540 = 79,540/x
  3. Step 3: Cross multiply
    36,476x = 79,540 × 79,540
  4. Step 4: Simplify right side
    36,476x = 6,326,611,600
  5. Step 5: Solve for x
    x = 6,326,611,600/36,476
  6. Step 6: Final answer
    x = 173,445.87

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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.