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Finding the Third Proportional to 39,274 and 58,782.75

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Solution

The third proportional to 39,274 and 58,782.75 is: 87,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,274 : 58,782.75 = 58,782.75 : x
  2. Step 2: Convert to fraction form
    39,274/58,782.75 = 58,782.75/x
  3. Step 3: Cross multiply
    39,274x = 58,782.75 × 58,782.75
  4. Step 4: Simplify right side
    39,274x = 3,455,411,697.56
  5. Step 5: Solve for x
    x = 3,455,411,697.56/39,274
  6. Step 6: Final answer
    x = 87,982.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.