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Finding the Third Proportional to 5,208.19 and 8,066.81

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Solution

The third proportional to 5,208.19 and 8,066.81 is: 12,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.19 : 8,066.81 = 8,066.81 : x
  2. Step 2: Convert to fraction form
    5,208.19/8,066.81 = 8,066.81/x
  3. Step 3: Cross multiply
    5,208.19x = 8,066.81 × 8,066.81
  4. Step 4: Simplify right side
    5,208.19x = 65,073,463.91
  5. Step 5: Solve for x
    x = 65,073,463.91/5,208.19
  6. Step 6: Final answer
    x = 12,494.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.