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Finding the Third Proportional to 27,459 and 41,184

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Solution

The third proportional to 27,459 and 41,184 is: 61,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459 : 41,184 = 41,184 : x
  2. Step 2: Convert to fraction form
    27,459/41,184 = 41,184/x
  3. Step 3: Cross multiply
    27,459x = 41,184 × 41,184
  4. Step 4: Simplify right side
    27,459x = 1,696,121,856
  5. Step 5: Solve for x
    x = 1,696,121,856/27,459
  6. Step 6: Final answer
    x = 61,769.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.