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Finding the Third Proportional to 2,560.99 and 5,317.52

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Solution

The third proportional to 2,560.99 and 5,317.52 is: 11,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.99 : 5,317.52 = 5,317.52 : x
  2. Step 2: Convert to fraction form
    2,560.99/5,317.52 = 5,317.52/x
  3. Step 3: Cross multiply
    2,560.99x = 5,317.52 × 5,317.52
  4. Step 4: Simplify right side
    2,560.99x = 28,276,055.51
  5. Step 5: Solve for x
    x = 28,276,055.51/2,560.99
  6. Step 6: Final answer
    x = 11,041.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.