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Finding the Third Proportional to 40,398.75 and 82,802.25

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Solution

The third proportional to 40,398.75 and 82,802.25 is: 169,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,398.75 : 82,802.25 = 82,802.25 : x
  2. Step 2: Convert to fraction form
    40,398.75/82,802.25 = 82,802.25/x
  3. Step 3: Cross multiply
    40,398.75x = 82,802.25 × 82,802.25
  4. Step 4: Simplify right side
    40,398.75x = 6,856,212,605.06
  5. Step 5: Solve for x
    x = 6,856,212,605.06/40,398.75
  6. Step 6: Final answer
    x = 169,713.48

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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.