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Finding the Third Proportional to 32,219.50 and 69,974

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Solution

The third proportional to 32,219.50 and 69,974 is: 151,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,219.50 : 69,974 = 69,974 : x
  2. Step 2: Convert to fraction form
    32,219.50/69,974 = 69,974/x
  3. Step 3: Cross multiply
    32,219.50x = 69,974 × 69,974
  4. Step 4: Simplify right side
    32,219.50x = 4,896,360,676
  5. Step 5: Solve for x
    x = 4,896,360,676/32,219.50
  6. Step 6: Final answer
    x = 151,968.86

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Why These Related Problems?

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