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Finding the Third Proportional to 27,324 and 41,778

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Solution

The third proportional to 27,324 and 41,778 is: 63,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324 : 41,778 = 41,778 : x
  2. Step 2: Convert to fraction form
    27,324/41,778 = 41,778/x
  3. Step 3: Cross multiply
    27,324x = 41,778 × 41,778
  4. Step 4: Simplify right side
    27,324x = 1,745,401,284
  5. Step 5: Solve for x
    x = 1,745,401,284/27,324
  6. Step 6: Final answer
    x = 63,877.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.