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Finding the Third Proportional to 40,941 and 86,802.19

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Solution

The third proportional to 40,941 and 86,802.19 is: 184,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,941 : 86,802.19 = 86,802.19 : x
  2. Step 2: Convert to fraction form
    40,941/86,802.19 = 86,802.19/x
  3. Step 3: Cross multiply
    40,941x = 86,802.19 × 86,802.19
  4. Step 4: Simplify right side
    40,941x = 7,534,619,754.79
  5. Step 5: Solve for x
    x = 7,534,619,754.79/40,941
  6. Step 6: Final answer
    x = 184,036.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.