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Finding the Third Proportional to 32,616.75 and 70,629.75

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Solution

The third proportional to 32,616.75 and 70,629.75 is: 152,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616.75 : 70,629.75 = 70,629.75 : x
  2. Step 2: Convert to fraction form
    32,616.75/70,629.75 = 70,629.75/x
  3. Step 3: Cross multiply
    32,616.75x = 70,629.75 × 70,629.75
  4. Step 4: Simplify right side
    32,616.75x = 4,988,561,585.06
  5. Step 5: Solve for x
    x = 4,988,561,585.06/32,616.75
  6. Step 6: Final answer
    x = 152,944.78

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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.