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Finding the Third Proportional to 33,492.25 and 72,242.50

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Solution

The third proportional to 33,492.25 and 72,242.50 is: 155,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,492.25 : 72,242.50 = 72,242.50 : x
  2. Step 2: Convert to fraction form
    33,492.25/72,242.50 = 72,242.50/x
  3. Step 3: Cross multiply
    33,492.25x = 72,242.50 × 72,242.50
  4. Step 4: Simplify right side
    33,492.25x = 5,218,978,806.25
  5. Step 5: Solve for x
    x = 5,218,978,806.25/33,492.25
  6. Step 6: Final answer
    x = 155,826.46

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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.