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Finding the Third Proportional to 29,970 and 60,972.75

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Solution

The third proportional to 29,970 and 60,972.75 is: 124,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970 : 60,972.75 = 60,972.75 : x
  2. Step 2: Convert to fraction form
    29,970/60,972.75 = 60,972.75/x
  3. Step 3: Cross multiply
    29,970x = 60,972.75 × 60,972.75
  4. Step 4: Simplify right side
    29,970x = 3,717,676,242.56
  5. Step 5: Solve for x
    x = 3,717,676,242.56/29,970
  6. Step 6: Final answer
    x = 124,046.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.