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Finding the Third Proportional to 1,473.47 and 2,261.46

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Solution

The third proportional to 1,473.47 and 2,261.46 is: 3,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.47 : 2,261.46 = 2,261.46 : x
  2. Step 2: Convert to fraction form
    1,473.47/2,261.46 = 2,261.46/x
  3. Step 3: Cross multiply
    1,473.47x = 2,261.46 × 2,261.46
  4. Step 4: Simplify right side
    1,473.47x = 5,114,205.57
  5. Step 5: Solve for x
    x = 5,114,205.57/1,473.47
  6. Step 6: Final answer
    x = 3,470.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.