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Finding the Third Proportional to 43,712 and 94,822

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Solution

The third proportional to 43,712 and 94,822 is: 205,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,712 : 94,822 = 94,822 : x
  2. Step 2: Convert to fraction form
    43,712/94,822 = 94,822/x
  3. Step 3: Cross multiply
    43,712x = 94,822 × 94,822
  4. Step 4: Simplify right side
    43,712x = 8,991,211,684
  5. Step 5: Solve for x
    x = 8,991,211,684/43,712
  6. Step 6: Final answer
    x = 205,692.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.