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Finding the Third Proportional to 1,097.30 and 2,560.99

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Solution

The third proportional to 1,097.30 and 2,560.99 is: 5,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.30 : 2,560.99 = 2,560.99 : x
  2. Step 2: Convert to fraction form
    1,097.30/2,560.99 = 2,560.99/x
  3. Step 3: Cross multiply
    1,097.30x = 2,560.99 × 2,560.99
  4. Step 4: Simplify right side
    1,097.30x = 6,558,680.98
  5. Step 5: Solve for x
    x = 6,558,680.98/1,097.30
  6. Step 6: Final answer
    x = 5,977.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.