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Finding the Third Proportional to 2,007.70 and 4,258.41

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Solution

The third proportional to 2,007.70 and 4,258.41 is: 9,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.70 : 4,258.41 = 4,258.41 : x
  2. Step 2: Convert to fraction form
    2,007.70/4,258.41 = 4,258.41/x
  3. Step 3: Cross multiply
    2,007.70x = 4,258.41 × 4,258.41
  4. Step 4: Simplify right side
    2,007.70x = 18,134,023.79
  5. Step 5: Solve for x
    x = 18,134,023.79/2,007.70
  6. Step 6: Final answer
    x = 9,032.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.