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Finding the Third Proportional to 1,699.10 and 2,560.99

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Solution

The third proportional to 1,699.10 and 2,560.99 is: 3,860.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.10 : 2,560.99 = 2,560.99 : x
  2. Step 2: Convert to fraction form
    1,699.10/2,560.99 = 2,560.99/x
  3. Step 3: Cross multiply
    1,699.10x = 2,560.99 × 2,560.99
  4. Step 4: Simplify right side
    1,699.10x = 6,558,680.98
  5. Step 5: Solve for x
    x = 6,558,680.98/1,699.10
  6. Step 6: Final answer
    x = 3,860.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.