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Finding the Third Proportional to 39,242 and 59,232

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Solution

The third proportional to 39,242 and 59,232 is: 89,404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,242 : 59,232 = 59,232 : x
  2. Step 2: Convert to fraction form
    39,242/59,232 = 59,232/x
  3. Step 3: Cross multiply
    39,242x = 59,232 × 59,232
  4. Step 4: Simplify right side
    39,242x = 3,508,429,824
  5. Step 5: Solve for x
    x = 3,508,429,824/39,242
  6. Step 6: Final answer
    x = 89,404.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.