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Finding the Third Proportional to 33,432.75 and 74,246.63

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Solution

The third proportional to 33,432.75 and 74,246.63 is: 164,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,432.75 : 74,246.63 = 74,246.63 : x
  2. Step 2: Convert to fraction form
    33,432.75/74,246.63 = 74,246.63/x
  3. Step 3: Cross multiply
    33,432.75x = 74,246.63 × 74,246.63
  4. Step 4: Simplify right side
    33,432.75x = 5,512,561,323.89
  5. Step 5: Solve for x
    x = 5,512,561,323.89/33,432.75
  6. Step 6: Final answer
    x = 164,885.07

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.