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Finding the Third Proportional to 27,758 and 36,444

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Solution

The third proportional to 27,758 and 36,444 is: 47,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758 : 36,444 = 36,444 : x
  2. Step 2: Convert to fraction form
    27,758/36,444 = 36,444/x
  3. Step 3: Cross multiply
    27,758x = 36,444 × 36,444
  4. Step 4: Simplify right side
    27,758x = 1,328,165,136
  5. Step 5: Solve for x
    x = 1,328,165,136/27,758
  6. Step 6: Final answer
    x = 47,848.01

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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.