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Finding the Third Proportional to 33,053.25 and 67,866.25

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Solution

The third proportional to 33,053.25 and 67,866.25 is: 139,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053.25 : 67,866.25 = 67,866.25 : x
  2. Step 2: Convert to fraction form
    33,053.25/67,866.25 = 67,866.25/x
  3. Step 3: Cross multiply
    33,053.25x = 67,866.25 × 67,866.25
  4. Step 4: Simplify right side
    33,053.25x = 4,605,827,889.06
  5. Step 5: Solve for x
    x = 4,605,827,889.06/33,053.25
  6. Step 6: Final answer
    x = 139,345.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.