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Finding the Third Proportional to 43,632 and 70,004

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Solution

The third proportional to 43,632 and 70,004 is: 112,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,632 : 70,004 = 70,004 : x
  2. Step 2: Convert to fraction form
    43,632/70,004 = 70,004/x
  3. Step 3: Cross multiply
    43,632x = 70,004 × 70,004
  4. Step 4: Simplify right side
    43,632x = 4,900,560,016
  5. Step 5: Solve for x
    x = 4,900,560,016/43,632
  6. Step 6: Final answer
    x = 112,315.73

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.