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Finding the Third Proportional to 3,851.25 and 5,946.70

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Solution

The third proportional to 3,851.25 and 5,946.70 is: 9,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.25 : 5,946.70 = 5,946.70 : x
  2. Step 2: Convert to fraction form
    3,851.25/5,946.70 = 5,946.70/x
  3. Step 3: Cross multiply
    3,851.25x = 5,946.70 × 5,946.70
  4. Step 4: Simplify right side
    3,851.25x = 35,363,278.06
  5. Step 5: Solve for x
    x = 35,363,278.06/3,851.25
  6. Step 6: Final answer
    x = 9,182.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.