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Finding the Third Proportional to 32,923.50 and 72,091.50

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Solution

The third proportional to 32,923.50 and 72,091.50 is: 157,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,923.50 : 72,091.50 = 72,091.50 : x
  2. Step 2: Convert to fraction form
    32,923.50/72,091.50 = 72,091.50/x
  3. Step 3: Cross multiply
    32,923.50x = 72,091.50 × 72,091.50
  4. Step 4: Simplify right side
    32,923.50x = 5,197,184,372.25
  5. Step 5: Solve for x
    x = 5,197,184,372.25/32,923.50
  6. Step 6: Final answer
    x = 157,856.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.