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Finding the Third Proportional to 36,432 and 79,380

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Solution

The third proportional to 36,432 and 79,380 is: 172,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,432 : 79,380 = 79,380 : x
  2. Step 2: Convert to fraction form
    36,432/79,380 = 79,380/x
  3. Step 3: Cross multiply
    36,432x = 79,380 × 79,380
  4. Step 4: Simplify right side
    36,432x = 6,301,184,400
  5. Step 5: Solve for x
    x = 6,301,184,400/36,432
  6. Step 6: Final answer
    x = 172,957.41

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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.