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Finding the Third Proportional to 8,959.36 and 12,534.12

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Solution

The third proportional to 8,959.36 and 12,534.12 is: 17,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.36 : 12,534.12 = 12,534.12 : x
  2. Step 2: Convert to fraction form
    8,959.36/12,534.12 = 12,534.12/x
  3. Step 3: Cross multiply
    8,959.36x = 12,534.12 × 12,534.12
  4. Step 4: Simplify right side
    8,959.36x = 157,104,093.67
  5. Step 5: Solve for x
    x = 157,104,093.67/8,959.36
  6. Step 6: Final answer
    x = 17,535.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.