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Finding the Third Proportional to 29,814 and 60,924

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Solution

The third proportional to 29,814 and 60,924 is: 124,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814 : 60,924 = 60,924 : x
  2. Step 2: Convert to fraction form
    29,814/60,924 = 60,924/x
  3. Step 3: Cross multiply
    29,814x = 60,924 × 60,924
  4. Step 4: Simplify right side
    29,814x = 3,711,733,776
  5. Step 5: Solve for x
    x = 3,711,733,776/29,814
  6. Step 6: Final answer
    x = 124,496.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.