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Finding the Third Proportional to 6,706.13 and 8,133.75

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Solution

The third proportional to 6,706.13 and 8,133.75 is: 9,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.13 : 8,133.75 = 8,133.75 : x
  2. Step 2: Convert to fraction form
    6,706.13/8,133.75 = 8,133.75/x
  3. Step 3: Cross multiply
    6,706.13x = 8,133.75 × 8,133.75
  4. Step 4: Simplify right side
    6,706.13x = 66,157,889.06
  5. Step 5: Solve for x
    x = 66,157,889.06/6,706.13
  6. Step 6: Final answer
    x = 9,865.29

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.