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Finding the Third Proportional to 40,346.75 and 86,184.25

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Solution

The third proportional to 40,346.75 and 86,184.25 is: 184,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,346.75 : 86,184.25 = 86,184.25 : x
  2. Step 2: Convert to fraction form
    40,346.75/86,184.25 = 86,184.25/x
  3. Step 3: Cross multiply
    40,346.75x = 86,184.25 × 86,184.25
  4. Step 4: Simplify right side
    40,346.75x = 7,427,724,948.06
  5. Step 5: Solve for x
    x = 7,427,724,948.06/40,346.75
  6. Step 6: Final answer
    x = 184,097.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.