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Finding the Third Proportional to 29,584.30 and 63,679.29

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Solution

The third proportional to 29,584.30 and 63,679.29 is: 137,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584.30 : 63,679.29 = 63,679.29 : x
  2. Step 2: Convert to fraction form
    29,584.30/63,679.29 = 63,679.29/x
  3. Step 3: Cross multiply
    29,584.30x = 63,679.29 × 63,679.29
  4. Step 4: Simplify right side
    29,584.30x = 4,055,051,855.51
  5. Step 5: Solve for x
    x = 4,055,051,855.51/29,584.30
  6. Step 6: Final answer
    x = 137,067.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.