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Finding the Third Proportional to 37,039 and 52,928

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Solution

The third proportional to 37,039 and 52,928 is: 75,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,039 : 52,928 = 52,928 : x
  2. Step 2: Convert to fraction form
    37,039/52,928 = 52,928/x
  3. Step 3: Cross multiply
    37,039x = 52,928 × 52,928
  4. Step 4: Simplify right side
    37,039x = 2,801,373,184
  5. Step 5: Solve for x
    x = 2,801,373,184/37,039
  6. Step 6: Final answer
    x = 75,633.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.