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Finding the Third Proportional to 2,386.97 and 3,470.34

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Solution

The third proportional to 2,386.97 and 3,470.34 is: 5,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.97 : 3,470.34 = 3,470.34 : x
  2. Step 2: Convert to fraction form
    2,386.97/3,470.34 = 3,470.34/x
  3. Step 3: Cross multiply
    2,386.97x = 3,470.34 × 3,470.34
  4. Step 4: Simplify right side
    2,386.97x = 12,043,285.74
  5. Step 5: Solve for x
    x = 12,043,285.74/2,386.97
  6. Step 6: Final answer
    x = 5,045.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.