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Finding the Third Proportional to 1,570.08 and 3,301.73

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Solution

The third proportional to 1,570.08 and 3,301.73 is: 6,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.08 : 3,301.73 = 3,301.73 : x
  2. Step 2: Convert to fraction form
    1,570.08/3,301.73 = 3,301.73/x
  3. Step 3: Cross multiply
    1,570.08x = 3,301.73 × 3,301.73
  4. Step 4: Simplify right side
    1,570.08x = 10,901,449.88
  5. Step 5: Solve for x
    x = 10,901,449.88/1,570.08
  6. Step 6: Final answer
    x = 6,943.25

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