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Finding the Third Proportional to 29,916 and 62,930.25

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Solution

The third proportional to 29,916 and 62,930.25 is: 132,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,916 : 62,930.25 = 62,930.25 : x
  2. Step 2: Convert to fraction form
    29,916/62,930.25 = 62,930.25/x
  3. Step 3: Cross multiply
    29,916x = 62,930.25 × 62,930.25
  4. Step 4: Simplify right side
    29,916x = 3,960,216,365.06
  5. Step 5: Solve for x
    x = 3,960,216,365.06/29,916
  6. Step 6: Final answer
    x = 132,377.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.