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Finding the Third Proportional to 6,211.13 and 8,066.25

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Solution

The third proportional to 6,211.13 and 8,066.25 is: 10,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.13 : 8,066.25 = 8,066.25 : x
  2. Step 2: Convert to fraction form
    6,211.13/8,066.25 = 8,066.25/x
  3. Step 3: Cross multiply
    6,211.13x = 8,066.25 × 8,066.25
  4. Step 4: Simplify right side
    6,211.13x = 65,064,389.06
  5. Step 5: Solve for x
    x = 65,064,389.06/6,211.13
  6. Step 6: Final answer
    x = 10,475.46

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.