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Finding the Third Proportional to 34,568.65 and 52,170.96

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Solution

The third proportional to 34,568.65 and 52,170.96 is: 78,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568.65 : 52,170.96 = 52,170.96 : x
  2. Step 2: Convert to fraction form
    34,568.65/52,170.96 = 52,170.96/x
  3. Step 3: Cross multiply
    34,568.65x = 52,170.96 × 52,170.96
  4. Step 4: Simplify right side
    34,568.65x = 2,721,809,165.14
  5. Step 5: Solve for x
    x = 2,721,809,165.14/34,568.65
  6. Step 6: Final answer
    x = 78,736.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.