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Finding the Third Proportional to 6,140.81 and 13,011.89

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Solution

The third proportional to 6,140.81 and 13,011.89 is: 27,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.81 : 13,011.89 = 13,011.89 : x
  2. Step 2: Convert to fraction form
    6,140.81/13,011.89 = 13,011.89/x
  3. Step 3: Cross multiply
    6,140.81x = 13,011.89 × 13,011.89
  4. Step 4: Simplify right side
    6,140.81x = 169,309,297.64
  5. Step 5: Solve for x
    x = 169,309,297.64/6,140.81
  6. Step 6: Final answer
    x = 27,571.16

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.