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Finding the Third Proportional to 27,270 and 36,648

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Solution

The third proportional to 27,270 and 36,648 is: 49,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270 : 36,648 = 36,648 : x
  2. Step 2: Convert to fraction form
    27,270/36,648 = 36,648/x
  3. Step 3: Cross multiply
    27,270x = 36,648 × 36,648
  4. Step 4: Simplify right side
    27,270x = 1,343,075,904
  5. Step 5: Solve for x
    x = 1,343,075,904/27,270
  6. Step 6: Final answer
    x = 49,251.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.