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Finding the Third Proportional to 1,066.13 and 2,258.81

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Solution

The third proportional to 1,066.13 and 2,258.81 is: 4,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.13 : 2,258.81 = 2,258.81 : x
  2. Step 2: Convert to fraction form
    1,066.13/2,258.81 = 2,258.81/x
  3. Step 3: Cross multiply
    1,066.13x = 2,258.81 × 2,258.81
  4. Step 4: Simplify right side
    1,066.13x = 5,102,233.91
  5. Step 5: Solve for x
    x = 5,102,233.91/1,066.13
  6. Step 6: Final answer
    x = 4,785.77

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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.