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Finding the Third Proportional to 4,887.28 and 10,647.56

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Solution

The third proportional to 4,887.28 and 10,647.56 is: 23,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.28 : 10,647.56 = 10,647.56 : x
  2. Step 2: Convert to fraction form
    4,887.28/10,647.56 = 10,647.56/x
  3. Step 3: Cross multiply
    4,887.28x = 10,647.56 × 10,647.56
  4. Step 4: Simplify right side
    4,887.28x = 113,370,587.19
  5. Step 5: Solve for x
    x = 113,370,587.19/4,887.28
  6. Step 6: Final answer
    x = 23,197.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.