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Finding the Third Proportional to 5,088.66 and 11,047.54

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Solution

The third proportional to 5,088.66 and 11,047.54 is: 23,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.66 : 11,047.54 = 11,047.54 : x
  2. Step 2: Convert to fraction form
    5,088.66/11,047.54 = 11,047.54/x
  3. Step 3: Cross multiply
    5,088.66x = 11,047.54 × 11,047.54
  4. Step 4: Simplify right side
    5,088.66x = 122,048,033.03
  5. Step 5: Solve for x
    x = 122,048,033.03/5,088.66
  6. Step 6: Final answer
    x = 23,984.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.