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Finding the Third Proportional to 1,308.02 and 2,022.79

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Solution

The third proportional to 1,308.02 and 2,022.79 is: 3,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.02 : 2,022.79 = 2,022.79 : x
  2. Step 2: Convert to fraction form
    1,308.02/2,022.79 = 2,022.79/x
  3. Step 3: Cross multiply
    1,308.02x = 2,022.79 × 2,022.79
  4. Step 4: Simplify right side
    1,308.02x = 4,091,659.79
  5. Step 5: Solve for x
    x = 4,091,659.79/1,308.02
  6. Step 6: Final answer
    x = 3,128.12

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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.