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Finding the Third Proportional to 36,232 and 77,840

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Solution

The third proportional to 36,232 and 77,840 is: 167,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232 : 77,840 = 77,840 : x
  2. Step 2: Convert to fraction form
    36,232/77,840 = 77,840/x
  3. Step 3: Cross multiply
    36,232x = 77,840 × 77,840
  4. Step 4: Simplify right side
    36,232x = 6,059,065,600
  5. Step 5: Solve for x
    x = 6,059,065,600/36,232
  6. Step 6: Final answer
    x = 167,229.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.