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Finding the Third Proportional to 21,306 and 49,764

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Solution

The third proportional to 21,306 and 49,764 is: 116,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306 : 49,764 = 49,764 : x
  2. Step 2: Convert to fraction form
    21,306/49,764 = 49,764/x
  3. Step 3: Cross multiply
    21,306x = 49,764 × 49,764
  4. Step 4: Simplify right side
    21,306x = 2,476,455,696
  5. Step 5: Solve for x
    x = 2,476,455,696/21,306
  6. Step 6: Final answer
    x = 116,232.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.