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Finding the Third Proportional to 29,187 and 59,643

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Solution

The third proportional to 29,187 and 59,643 is: 121,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,187 : 59,643 = 59,643 : x
  2. Step 2: Convert to fraction form
    29,187/59,643 = 59,643/x
  3. Step 3: Cross multiply
    29,187x = 59,643 × 59,643
  4. Step 4: Simplify right side
    29,187x = 3,557,287,449
  5. Step 5: Solve for x
    x = 3,557,287,449/29,187
  6. Step 6: Final answer
    x = 121,879.17

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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.