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Finding the Third Proportional to 32,939 and 71,062

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Solution

The third proportional to 32,939 and 71,062 is: 153,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,939 : 71,062 = 71,062 : x
  2. Step 2: Convert to fraction form
    32,939/71,062 = 71,062/x
  3. Step 3: Cross multiply
    32,939x = 71,062 × 71,062
  4. Step 4: Simplify right side
    32,939x = 5,049,807,844
  5. Step 5: Solve for x
    x = 5,049,807,844/32,939
  6. Step 6: Final answer
    x = 153,307.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.