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Finding the Third Proportional to 33,232.50 and 72,297

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Solution

The third proportional to 33,232.50 and 72,297 is: 157,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.50 : 72,297 = 72,297 : x
  2. Step 2: Convert to fraction form
    33,232.50/72,297 = 72,297/x
  3. Step 3: Cross multiply
    33,232.50x = 72,297 × 72,297
  4. Step 4: Simplify right side
    33,232.50x = 5,226,856,209
  5. Step 5: Solve for x
    x = 5,226,856,209/33,232.50
  6. Step 6: Final answer
    x = 157,281.46

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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.