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Finding the Third Proportional to 29,927 and 63,010

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Solution

The third proportional to 29,927 and 63,010 is: 132,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,927 : 63,010 = 63,010 : x
  2. Step 2: Convert to fraction form
    29,927/63,010 = 63,010/x
  3. Step 3: Cross multiply
    29,927x = 63,010 × 63,010
  4. Step 4: Simplify right side
    29,927x = 3,970,260,100
  5. Step 5: Solve for x
    x = 3,970,260,100/29,927
  6. Step 6: Final answer
    x = 132,664.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.