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Finding the Third Proportional to 1,301.06 and 2,708.02

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Solution

The third proportional to 1,301.06 and 2,708.02 is: 5,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.06 : 2,708.02 = 2,708.02 : x
  2. Step 2: Convert to fraction form
    1,301.06/2,708.02 = 2,708.02/x
  3. Step 3: Cross multiply
    1,301.06x = 2,708.02 × 2,708.02
  4. Step 4: Simplify right side
    1,301.06x = 7,333,348.63
  5. Step 5: Solve for x
    x = 7,333,348.63/1,301.06
  6. Step 6: Final answer
    x = 5,636.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.