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Finding the Third Proportional to 31,568.25 and 52,607.25

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Solution

The third proportional to 31,568.25 and 52,607.25 is: 87,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568.25 : 52,607.25 = 52,607.25 : x
  2. Step 2: Convert to fraction form
    31,568.25/52,607.25 = 52,607.25/x
  3. Step 3: Cross multiply
    31,568.25x = 52,607.25 × 52,607.25
  4. Step 4: Simplify right side
    31,568.25x = 2,767,522,752.56
  5. Step 5: Solve for x
    x = 2,767,522,752.56/31,568.25
  6. Step 6: Final answer
    x = 87,667.92

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.