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Finding the Third Proportional to 1,569.62 and 2,131.73

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Solution

The third proportional to 1,569.62 and 2,131.73 is: 2,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.62 : 2,131.73 = 2,131.73 : x
  2. Step 2: Convert to fraction form
    1,569.62/2,131.73 = 2,131.73/x
  3. Step 3: Cross multiply
    1,569.62x = 2,131.73 × 2,131.73
  4. Step 4: Simplify right side
    1,569.62x = 4,544,291.45
  5. Step 5: Solve for x
    x = 4,544,291.45/1,569.62
  6. Step 6: Final answer
    x = 2,895.15

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.