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Finding the Third Proportional to 29,719.50 and 61,884

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Solution

The third proportional to 29,719.50 and 61,884 is: 128,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,719.50 : 61,884 = 61,884 : x
  2. Step 2: Convert to fraction form
    29,719.50/61,884 = 61,884/x
  3. Step 3: Cross multiply
    29,719.50x = 61,884 × 61,884
  4. Step 4: Simplify right side
    29,719.50x = 3,829,629,456
  5. Step 5: Solve for x
    x = 3,829,629,456/29,719.50
  6. Step 6: Final answer
    x = 128,859.15

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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.