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Finding the Third Proportional to 25,927 and 61,013

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Solution

The third proportional to 25,927 and 61,013 is: 143,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,927 : 61,013 = 61,013 : x
  2. Step 2: Convert to fraction form
    25,927/61,013 = 61,013/x
  3. Step 3: Cross multiply
    25,927x = 61,013 × 61,013
  4. Step 4: Simplify right side
    25,927x = 3,722,586,169
  5. Step 5: Solve for x
    x = 3,722,586,169/25,927
  6. Step 6: Final answer
    x = 143,579.52

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.