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Finding the Third Proportional to 1,569.94 and 2,191.22

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Solution

The third proportional to 1,569.94 and 2,191.22 is: 3,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.94 : 2,191.22 = 2,191.22 : x
  2. Step 2: Convert to fraction form
    1,569.94/2,191.22 = 2,191.22/x
  3. Step 3: Cross multiply
    1,569.94x = 2,191.22 × 2,191.22
  4. Step 4: Simplify right side
    1,569.94x = 4,801,439.61
  5. Step 5: Solve for x
    x = 4,801,439.61/1,569.94
  6. Step 6: Final answer
    x = 3,058.36

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.