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Finding the Third Proportional to 2,448.75 and 3,625.88

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Solution

The third proportional to 2,448.75 and 3,625.88 is: 5,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.75 : 3,625.88 = 3,625.88 : x
  2. Step 2: Convert to fraction form
    2,448.75/3,625.88 = 3,625.88/x
  3. Step 3: Cross multiply
    2,448.75x = 3,625.88 × 3,625.88
  4. Step 4: Simplify right side
    2,448.75x = 13,146,969.52
  5. Step 5: Solve for x
    x = 13,146,969.52/2,448.75
  6. Step 6: Final answer
    x = 5,368.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.