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Finding the Third Proportional to 37,854 and 79,632

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Solution

The third proportional to 37,854 and 79,632 is: 167,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854 : 79,632 = 79,632 : x
  2. Step 2: Convert to fraction form
    37,854/79,632 = 79,632/x
  3. Step 3: Cross multiply
    37,854x = 79,632 × 79,632
  4. Step 4: Simplify right side
    37,854x = 6,341,255,424
  5. Step 5: Solve for x
    x = 6,341,255,424/37,854
  6. Step 6: Final answer
    x = 167,518.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.