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Finding the Third Proportional to 32,274.50 and 69,910.50

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Solution

The third proportional to 32,274.50 and 69,910.50 is: 151,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274.50 : 69,910.50 = 69,910.50 : x
  2. Step 2: Convert to fraction form
    32,274.50/69,910.50 = 69,910.50/x
  3. Step 3: Cross multiply
    32,274.50x = 69,910.50 × 69,910.50
  4. Step 4: Simplify right side
    32,274.50x = 4,887,478,010.25
  5. Step 5: Solve for x
    x = 4,887,478,010.25/32,274.50
  6. Step 6: Final answer
    x = 151,434.66

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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.