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Finding the Third Proportional to 27,888 and 39,754

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Solution

The third proportional to 27,888 and 39,754 is: 56,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888 : 39,754 = 39,754 : x
  2. Step 2: Convert to fraction form
    27,888/39,754 = 39,754/x
  3. Step 3: Cross multiply
    27,888x = 39,754 × 39,754
  4. Step 4: Simplify right side
    27,888x = 1,580,380,516
  5. Step 5: Solve for x
    x = 1,580,380,516/27,888
  6. Step 6: Final answer
    x = 56,668.84

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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.