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Finding the Third Proportional to 32,346.50 and 70,727.50

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Solution

The third proportional to 32,346.50 and 70,727.50 is: 154,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346.50 : 70,727.50 = 70,727.50 : x
  2. Step 2: Convert to fraction form
    32,346.50/70,727.50 = 70,727.50/x
  3. Step 3: Cross multiply
    32,346.50x = 70,727.50 × 70,727.50
  4. Step 4: Simplify right side
    32,346.50x = 5,002,379,256.25
  5. Step 5: Solve for x
    x = 5,002,379,256.25/32,346.50
  6. Step 6: Final answer
    x = 154,649.78

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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.