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Finding the Third Proportional to 5,268 and 10,887

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Solution

The third proportional to 5,268 and 10,887 is: 22,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268 : 10,887 = 10,887 : x
  2. Step 2: Convert to fraction form
    5,268/10,887 = 10,887/x
  3. Step 3: Cross multiply
    5,268x = 10,887 × 10,887
  4. Step 4: Simplify right side
    5,268x = 118,526,769
  5. Step 5: Solve for x
    x = 118,526,769/5,268
  6. Step 6: Final answer
    x = 22,499.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.