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Finding the Third Proportional to 27,184 and 40,272

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Solution

The third proportional to 27,184 and 40,272 is: 59,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184 : 40,272 = 40,272 : x
  2. Step 2: Convert to fraction form
    27,184/40,272 = 40,272/x
  3. Step 3: Cross multiply
    27,184x = 40,272 × 40,272
  4. Step 4: Simplify right side
    27,184x = 1,621,833,984
  5. Step 5: Solve for x
    x = 1,621,833,984/27,184
  6. Step 6: Final answer
    x = 59,661.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.