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Finding the Third Proportional to 5,240.81 and 11,089.13

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Solution

The third proportional to 5,240.81 and 11,089.13 is: 23,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.81 : 11,089.13 = 11,089.13 : x
  2. Step 2: Convert to fraction form
    5,240.81/11,089.13 = 11,089.13/x
  3. Step 3: Cross multiply
    5,240.81x = 11,089.13 × 11,089.13
  4. Step 4: Simplify right side
    5,240.81x = 122,968,693.27
  5. Step 5: Solve for x
    x = 122,968,693.27/5,240.81
  6. Step 6: Final answer
    x = 23,463.67

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Why These Related Problems?

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