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Finding the Third Proportional to 30,187 and 39,444

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Solution

The third proportional to 30,187 and 39,444 is: 51,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187 : 39,444 = 39,444 : x
  2. Step 2: Convert to fraction form
    30,187/39,444 = 39,444/x
  3. Step 3: Cross multiply
    30,187x = 39,444 × 39,444
  4. Step 4: Simplify right side
    30,187x = 1,555,829,136
  5. Step 5: Solve for x
    x = 1,555,829,136/30,187
  6. Step 6: Final answer
    x = 51,539.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.