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Finding the Third Proportional to 36,432 and 79,677

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Solution

The third proportional to 36,432 and 79,677 is: 174,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,432 : 79,677 = 79,677 : x
  2. Step 2: Convert to fraction form
    36,432/79,677 = 79,677/x
  3. Step 3: Cross multiply
    36,432x = 79,677 × 79,677
  4. Step 4: Simplify right side
    36,432x = 6,348,424,329
  5. Step 5: Solve for x
    x = 6,348,424,329/36,432
  6. Step 6: Final answer
    x = 174,254.07

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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.