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Finding the Third Proportional to 6,812.02 and 9,154.27

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Solution

The third proportional to 6,812.02 and 9,154.27 is: 12,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.02 : 9,154.27 = 9,154.27 : x
  2. Step 2: Convert to fraction form
    6,812.02/9,154.27 = 9,154.27/x
  3. Step 3: Cross multiply
    6,812.02x = 9,154.27 × 9,154.27
  4. Step 4: Simplify right side
    6,812.02x = 83,800,579.13
  5. Step 5: Solve for x
    x = 83,800,579.13/6,812.02
  6. Step 6: Final answer
    x = 12,301.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.