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Finding the Third Proportional to 32,559.75 and 70,446.75

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Solution

The third proportional to 32,559.75 and 70,446.75 is: 152,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,559.75 : 70,446.75 = 70,446.75 : x
  2. Step 2: Convert to fraction form
    32,559.75/70,446.75 = 70,446.75/x
  3. Step 3: Cross multiply
    32,559.75x = 70,446.75 × 70,446.75
  4. Step 4: Simplify right side
    32,559.75x = 4,962,744,585.56
  5. Step 5: Solve for x
    x = 4,962,744,585.56/32,559.75
  6. Step 6: Final answer
    x = 152,419.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.