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Finding the Third Proportional to 27,385 and 61,006

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Solution

The third proportional to 27,385 and 61,006 is: 135,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,385 : 61,006 = 61,006 : x
  2. Step 2: Convert to fraction form
    27,385/61,006 = 61,006/x
  3. Step 3: Cross multiply
    27,385x = 61,006 × 61,006
  4. Step 4: Simplify right side
    27,385x = 3,721,732,036
  5. Step 5: Solve for x
    x = 3,721,732,036/27,385
  6. Step 6: Final answer
    x = 135,904.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.