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Finding the Third Proportional to 12,643.59 and 17,794.69

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Solution

The third proportional to 12,643.59 and 17,794.69 is: 25,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.59 : 17,794.69 = 17,794.69 : x
  2. Step 2: Convert to fraction form
    12,643.59/17,794.69 = 17,794.69/x
  3. Step 3: Cross multiply
    12,643.59x = 17,794.69 × 17,794.69
  4. Step 4: Simplify right side
    12,643.59x = 316,650,903.22
  5. Step 5: Solve for x
    x = 316,650,903.22/12,643.59
  6. Step 6: Final answer
    x = 25,044.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.