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Finding the Third Proportional to 11,503 and 24,887

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Solution

The third proportional to 11,503 and 24,887 is: 53,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503 : 24,887 = 24,887 : x
  2. Step 2: Convert to fraction form
    11,503/24,887 = 24,887/x
  3. Step 3: Cross multiply
    11,503x = 24,887 × 24,887
  4. Step 4: Simplify right side
    11,503x = 619,362,769
  5. Step 5: Solve for x
    x = 619,362,769/11,503
  6. Step 6: Final answer
    x = 53,843.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.