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Finding the Third Proportional to 28,236.28 and 37,643.34

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Solution

The third proportional to 28,236.28 and 37,643.34 is: 50,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,236.28 : 37,643.34 = 37,643.34 : x
  2. Step 2: Convert to fraction form
    28,236.28/37,643.34 = 37,643.34/x
  3. Step 3: Cross multiply
    28,236.28x = 37,643.34 × 37,643.34
  4. Step 4: Simplify right side
    28,236.28x = 1,417,021,328.68
  5. Step 5: Solve for x
    x = 1,417,021,328.68/28,236.28
  6. Step 6: Final answer
    x = 50,184.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.