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Finding the Third Proportional to 2,509.13 and 3,363.75

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Solution

The third proportional to 2,509.13 and 3,363.75 is: 4,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.13 : 3,363.75 = 3,363.75 : x
  2. Step 2: Convert to fraction form
    2,509.13/3,363.75 = 3,363.75/x
  3. Step 3: Cross multiply
    2,509.13x = 3,363.75 × 3,363.75
  4. Step 4: Simplify right side
    2,509.13x = 11,314,814.06
  5. Step 5: Solve for x
    x = 11,314,814.06/2,509.13
  6. Step 6: Final answer
    x = 4,509.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.