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Finding the Third Proportional to 29,749 and 39,661

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Solution

The third proportional to 29,749 and 39,661 is: 52,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,749 : 39,661 = 39,661 : x
  2. Step 2: Convert to fraction form
    29,749/39,661 = 39,661/x
  3. Step 3: Cross multiply
    29,749x = 39,661 × 39,661
  4. Step 4: Simplify right side
    29,749x = 1,572,994,921
  5. Step 5: Solve for x
    x = 1,572,994,921/29,749
  6. Step 6: Final answer
    x = 52,875.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.