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Finding the Third Proportional to 27,773 and 39,687

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Solution

The third proportional to 27,773 and 39,687 is: 56,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773 : 39,687 = 39,687 : x
  2. Step 2: Convert to fraction form
    27,773/39,687 = 39,687/x
  3. Step 3: Cross multiply
    27,773x = 39,687 × 39,687
  4. Step 4: Simplify right side
    27,773x = 1,575,057,969
  5. Step 5: Solve for x
    x = 1,575,057,969/27,773
  6. Step 6: Final answer
    x = 56,711.84

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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.