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Finding the Third Proportional to 5,268.80 and 11,509.59

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Solution

The third proportional to 5,268.80 and 11,509.59 is: 25,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.80 : 11,509.59 = 11,509.59 : x
  2. Step 2: Convert to fraction form
    5,268.80/11,509.59 = 11,509.59/x
  3. Step 3: Cross multiply
    5,268.80x = 11,509.59 × 11,509.59
  4. Step 4: Simplify right side
    5,268.80x = 132,470,748.29
  5. Step 5: Solve for x
    x = 132,470,748.29/5,268.80
  6. Step 6: Final answer
    x = 25,142.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.