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Finding the Third Proportional to 29,736.28 and 40,365.84

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Solution

The third proportional to 29,736.28 and 40,365.84 is: 54,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,736.28 : 40,365.84 = 40,365.84 : x
  2. Step 2: Convert to fraction form
    29,736.28/40,365.84 = 40,365.84/x
  3. Step 3: Cross multiply
    29,736.28x = 40,365.84 × 40,365.84
  4. Step 4: Simplify right side
    29,736.28x = 1,629,401,341.65
  5. Step 5: Solve for x
    x = 1,629,401,341.65/29,736.28
  6. Step 6: Final answer
    x = 54,795.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.