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Finding the Third Proportional to 2,029.13 and 2,713.31

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Solution

The third proportional to 2,029.13 and 2,713.31 is: 3,628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.13 : 2,713.31 = 2,713.31 : x
  2. Step 2: Convert to fraction form
    2,029.13/2,713.31 = 2,713.31/x
  3. Step 3: Cross multiply
    2,029.13x = 2,713.31 × 2,713.31
  4. Step 4: Simplify right side
    2,029.13x = 7,362,064.72
  5. Step 5: Solve for x
    x = 7,362,064.72/2,029.13
  6. Step 6: Final answer
    x = 3,628.20

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.