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Finding the Third Proportional to 27,781 and 39,698.50

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Solution

The third proportional to 27,781 and 39,698.50 is: 56,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781 : 39,698.50 = 39,698.50 : x
  2. Step 2: Convert to fraction form
    27,781/39,698.50 = 39,698.50/x
  3. Step 3: Cross multiply
    27,781x = 39,698.50 × 39,698.50
  4. Step 4: Simplify right side
    27,781x = 1,575,970,902.25
  5. Step 5: Solve for x
    x = 1,575,970,902.25/27,781
  6. Step 6: Final answer
    x = 56,728.37

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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.