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Finding the Third Proportional to 29,027.25 and 59,284.13

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Solution

The third proportional to 29,027.25 and 59,284.13 is: 121,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,027.25 : 59,284.13 = 59,284.13 : x
  2. Step 2: Convert to fraction form
    29,027.25/59,284.13 = 59,284.13/x
  3. Step 3: Cross multiply
    29,027.25x = 59,284.13 × 59,284.13
  4. Step 4: Simplify right side
    29,027.25x = 3,514,607,477.02
  5. Step 5: Solve for x
    x = 3,514,607,477.02/29,027.25
  6. Step 6: Final answer
    x = 121,079.59

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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.