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Finding the Third Proportional to 11,610 and 24,965

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Solution

The third proportional to 11,610 and 24,965 is: 53,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610 : 24,965 = 24,965 : x
  2. Step 2: Convert to fraction form
    11,610/24,965 = 24,965/x
  3. Step 3: Cross multiply
    11,610x = 24,965 × 24,965
  4. Step 4: Simplify right side
    11,610x = 623,251,225
  5. Step 5: Solve for x
    x = 623,251,225/11,610
  6. Step 6: Final answer
    x = 53,682.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.