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Finding the Third Proportional to 8,669.53 and 13,067.58

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Solution

The third proportional to 8,669.53 and 13,067.58 is: 19,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.53 : 13,067.58 = 13,067.58 : x
  2. Step 2: Convert to fraction form
    8,669.53/13,067.58 = 13,067.58/x
  3. Step 3: Cross multiply
    8,669.53x = 13,067.58 × 13,067.58
  4. Step 4: Simplify right side
    8,669.53x = 170,761,598.05
  5. Step 5: Solve for x
    x = 170,761,598.05/8,669.53
  6. Step 6: Final answer
    x = 19,696.75

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Why These Related Problems?

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