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Finding the Third Proportional to 33,232.50 and 72,023.63

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Solution

The third proportional to 33,232.50 and 72,023.63 is: 156,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.50 : 72,023.63 = 72,023.63 : x
  2. Step 2: Convert to fraction form
    33,232.50/72,023.63 = 72,023.63/x
  3. Step 3: Cross multiply
    33,232.50x = 72,023.63 × 72,023.63
  4. Step 4: Simplify right side
    33,232.50x = 5,187,402,558.14
  5. Step 5: Solve for x
    x = 5,187,402,558.14/33,232.50
  6. Step 6: Final answer
    x = 156,094.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.