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Finding the Third Proportional to 32,595.75 and 68,213.81

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Solution

The third proportional to 32,595.75 and 68,213.81 is: 142,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,595.75 : 68,213.81 = 68,213.81 : x
  2. Step 2: Convert to fraction form
    32,595.75/68,213.81 = 68,213.81/x
  3. Step 3: Cross multiply
    32,595.75x = 68,213.81 × 68,213.81
  4. Step 4: Simplify right side
    32,595.75x = 4,653,124,215.79
  5. Step 5: Solve for x
    x = 4,653,124,215.79/32,595.75
  6. Step 6: Final answer
    x = 142,752.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.