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Finding the Third Proportional to 32,888 and 71,991

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Solution

The third proportional to 32,888 and 71,991 is: 157,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,888 : 71,991 = 71,991 : x
  2. Step 2: Convert to fraction form
    32,888/71,991 = 71,991/x
  3. Step 3: Cross multiply
    32,888x = 71,991 × 71,991
  4. Step 4: Simplify right side
    32,888x = 5,182,704,081
  5. Step 5: Solve for x
    x = 5,182,704,081/32,888
  6. Step 6: Final answer
    x = 157,586.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.