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Finding the Third Proportional to 27,306 and 41,688

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Solution

The third proportional to 27,306 and 41,688 is: 63,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,306 : 41,688 = 41,688 : x
  2. Step 2: Convert to fraction form
    27,306/41,688 = 41,688/x
  3. Step 3: Cross multiply
    27,306x = 41,688 × 41,688
  4. Step 4: Simplify right side
    27,306x = 1,737,889,344
  5. Step 5: Solve for x
    x = 1,737,889,344/27,306
  6. Step 6: Final answer
    x = 63,644.96

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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.