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Finding the Third Proportional to 29,659 and 60,502

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Solution

The third proportional to 29,659 and 60,502 is: 123,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,659 : 60,502 = 60,502 : x
  2. Step 2: Convert to fraction form
    29,659/60,502 = 60,502/x
  3. Step 3: Cross multiply
    29,659x = 60,502 × 60,502
  4. Step 4: Simplify right side
    29,659x = 3,660,492,004
  5. Step 5: Solve for x
    x = 3,660,492,004/29,659
  6. Step 6: Final answer
    x = 123,419.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.