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Finding the Third Proportional to 43,822 and 71,550

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Solution

The third proportional to 43,822 and 71,550 is: 116,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,822 : 71,550 = 71,550 : x
  2. Step 2: Convert to fraction form
    43,822/71,550 = 71,550/x
  3. Step 3: Cross multiply
    43,822x = 71,550 × 71,550
  4. Step 4: Simplify right side
    43,822x = 5,119,402,500
  5. Step 5: Solve for x
    x = 5,119,402,500/43,822
  6. Step 6: Final answer
    x = 116,822.66

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.