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Finding the Third Proportional to 5,762.81 and 11,737.13

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Solution

The third proportional to 5,762.81 and 11,737.13 is: 23,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.81 : 11,737.13 = 11,737.13 : x
  2. Step 2: Convert to fraction form
    5,762.81/11,737.13 = 11,737.13/x
  3. Step 3: Cross multiply
    5,762.81x = 11,737.13 × 11,737.13
  4. Step 4: Simplify right side
    5,762.81x = 137,760,103.27
  5. Step 5: Solve for x
    x = 137,760,103.27/5,762.81
  6. Step 6: Final answer
    x = 23,905.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.