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Finding the Third Proportional to 27,336 and 40,077

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Solution

The third proportional to 27,336 and 40,077 is: 58,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,336 : 40,077 = 40,077 : x
  2. Step 2: Convert to fraction form
    27,336/40,077 = 40,077/x
  3. Step 3: Cross multiply
    27,336x = 40,077 × 40,077
  4. Step 4: Simplify right side
    27,336x = 1,606,165,929
  5. Step 5: Solve for x
    x = 1,606,165,929/27,336
  6. Step 6: Final answer
    x = 58,756.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.