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Finding the Third Proportional to 27,464 and 59,965

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Solution

The third proportional to 27,464 and 59,965 is: 130,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,464 : 59,965 = 59,965 : x
  2. Step 2: Convert to fraction form
    27,464/59,965 = 59,965/x
  3. Step 3: Cross multiply
    27,464x = 59,965 × 59,965
  4. Step 4: Simplify right side
    27,464x = 3,595,801,225
  5. Step 5: Solve for x
    x = 3,595,801,225/27,464
  6. Step 6: Final answer
    x = 130,927.80

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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.