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Finding the Third Proportional to 2,532.75 and 3,806.25

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Solution

The third proportional to 2,532.75 and 3,806.25 is: 5,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.75 : 3,806.25 = 3,806.25 : x
  2. Step 2: Convert to fraction form
    2,532.75/3,806.25 = 3,806.25/x
  3. Step 3: Cross multiply
    2,532.75x = 3,806.25 × 3,806.25
  4. Step 4: Simplify right side
    2,532.75x = 14,487,539.06
  5. Step 5: Solve for x
    x = 14,487,539.06/2,532.75
  6. Step 6: Final answer
    x = 5,720.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.