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Finding the Third Proportional to 2,491.70 and 3,851.46

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Solution

The third proportional to 2,491.70 and 3,851.46 is: 5,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.70 : 3,851.46 = 3,851.46 : x
  2. Step 2: Convert to fraction form
    2,491.70/3,851.46 = 3,851.46/x
  3. Step 3: Cross multiply
    2,491.70x = 3,851.46 × 3,851.46
  4. Step 4: Simplify right side
    2,491.70x = 14,833,706.22
  5. Step 5: Solve for x
    x = 14,833,706.22/2,491.70
  6. Step 6: Final answer
    x = 5,953.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.