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Finding the Third Proportional to 32,967 and 61,833.38

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Solution

The third proportional to 32,967 and 61,833.38 is: 115,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 61,833.38 = 61,833.38 : x
  2. Step 2: Convert to fraction form
    32,967/61,833.38 = 61,833.38/x
  3. Step 3: Cross multiply
    32,967x = 61,833.38 × 61,833.38
  4. Step 4: Simplify right side
    32,967x = 3,823,366,263.89
  5. Step 5: Solve for x
    x = 3,823,366,263.89/32,967
  6. Step 6: Final answer
    x = 115,975.56

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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.