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Finding the Third Proportional to 1,570.22 and 3,301.97

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Solution

The third proportional to 1,570.22 and 3,301.97 is: 6,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.22 : 3,301.97 = 3,301.97 : x
  2. Step 2: Convert to fraction form
    1,570.22/3,301.97 = 3,301.97/x
  3. Step 3: Cross multiply
    1,570.22x = 3,301.97 × 3,301.97
  4. Step 4: Simplify right side
    1,570.22x = 10,902,997.63
  5. Step 5: Solve for x
    x = 10,902,997.63/1,570.22
  6. Step 6: Final answer
    x = 6,943.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.