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Finding the Third Proportional to 29,774 and 62,014

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Solution

The third proportional to 29,774 and 62,014 is: 129,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,774 : 62,014 = 62,014 : x
  2. Step 2: Convert to fraction form
    29,774/62,014 = 62,014/x
  3. Step 3: Cross multiply
    29,774x = 62,014 × 62,014
  4. Step 4: Simplify right side
    29,774x = 3,845,736,196
  5. Step 5: Solve for x
    x = 3,845,736,196/29,774
  6. Step 6: Final answer
    x = 129,164.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.