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Finding the Third Proportional to 8,959.36 and 13,194.14

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Solution

The third proportional to 8,959.36 and 13,194.14 is: 19,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.36 : 13,194.14 = 13,194.14 : x
  2. Step 2: Convert to fraction form
    8,959.36/13,194.14 = 13,194.14/x
  3. Step 3: Cross multiply
    8,959.36x = 13,194.14 × 13,194.14
  4. Step 4: Simplify right side
    8,959.36x = 174,085,346.83
  5. Step 5: Solve for x
    x = 174,085,346.83/8,959.36
  6. Step 6: Final answer
    x = 19,430.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.