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Finding the Third Proportional to 29,954 and 59,044

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Solution

The third proportional to 29,954 and 59,044 is: 116,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954 : 59,044 = 59,044 : x
  2. Step 2: Convert to fraction form
    29,954/59,044 = 59,044/x
  3. Step 3: Cross multiply
    29,954x = 59,044 × 59,044
  4. Step 4: Simplify right side
    29,954x = 3,486,193,936
  5. Step 5: Solve for x
    x = 3,486,193,936/29,954
  6. Step 6: Final answer
    x = 116,384.92

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.