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Finding the Third Proportional to 2,351.25 and 3,720

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Solution

The third proportional to 2,351.25 and 3,720 is: 5,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.25 : 3,720 = 3,720 : x
  2. Step 2: Convert to fraction form
    2,351.25/3,720 = 3,720/x
  3. Step 3: Cross multiply
    2,351.25x = 3,720 × 3,720
  4. Step 4: Simplify right side
    2,351.25x = 13,838,400
  5. Step 5: Solve for x
    x = 13,838,400/2,351.25
  6. Step 6: Final answer
    x = 5,885.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.