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Finding the Third Proportional to 8,068.36 and 10,893.23

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Solution

The third proportional to 8,068.36 and 10,893.23 is: 14,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.36 : 10,893.23 = 10,893.23 : x
  2. Step 2: Convert to fraction form
    8,068.36/10,893.23 = 10,893.23/x
  3. Step 3: Cross multiply
    8,068.36x = 10,893.23 × 10,893.23
  4. Step 4: Simplify right side
    8,068.36x = 118,662,555.15
  5. Step 5: Solve for x
    x = 118,662,555.15/8,068.36
  6. Step 6: Final answer
    x = 14,707.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.