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Finding the Third Proportional to 2,092.88 and 2,869.75

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Solution

The third proportional to 2,092.88 and 2,869.75 is: 3,935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.88 : 2,869.75 = 2,869.75 : x
  2. Step 2: Convert to fraction form
    2,092.88/2,869.75 = 2,869.75/x
  3. Step 3: Cross multiply
    2,092.88x = 2,869.75 × 2,869.75
  4. Step 4: Simplify right side
    2,092.88x = 8,235,465.06
  5. Step 5: Solve for x
    x = 8,235,465.06/2,092.88
  6. Step 6: Final answer
    x = 3,935.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.