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Finding the Third Proportional to 29,660 and 45,910

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Solution

The third proportional to 29,660 and 45,910 is: 71,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,660 : 45,910 = 45,910 : x
  2. Step 2: Convert to fraction form
    29,660/45,910 = 45,910/x
  3. Step 3: Cross multiply
    29,660x = 45,910 × 45,910
  4. Step 4: Simplify right side
    29,660x = 2,107,728,100
  5. Step 5: Solve for x
    x = 2,107,728,100/29,660
  6. Step 6: Final answer
    x = 71,062.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.