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Finding the Third Proportional to 33,434.25 and 72,862.50

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Solution

The third proportional to 33,434.25 and 72,862.50 is: 158,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,434.25 : 72,862.50 = 72,862.50 : x
  2. Step 2: Convert to fraction form
    33,434.25/72,862.50 = 72,862.50/x
  3. Step 3: Cross multiply
    33,434.25x = 72,862.50 × 72,862.50
  4. Step 4: Simplify right side
    33,434.25x = 5,308,943,906.25
  5. Step 5: Solve for x
    x = 5,308,943,906.25/33,434.25
  6. Step 6: Final answer
    x = 158,787.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.