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Finding the Third Proportional to 29,686 and 45,649

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Solution

The third proportional to 29,686 and 45,649 is: 70,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686 : 45,649 = 45,649 : x
  2. Step 2: Convert to fraction form
    29,686/45,649 = 45,649/x
  3. Step 3: Cross multiply
    29,686x = 45,649 × 45,649
  4. Step 4: Simplify right side
    29,686x = 2,083,831,201
  5. Step 5: Solve for x
    x = 2,083,831,201/29,686
  6. Step 6: Final answer
    x = 70,195.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.