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Finding the Third Proportional to 21,864 and 51,330

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Solution

The third proportional to 21,864 and 51,330 is: 120,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864 : 51,330 = 51,330 : x
  2. Step 2: Convert to fraction form
    21,864/51,330 = 51,330/x
  3. Step 3: Cross multiply
    21,864x = 51,330 × 51,330
  4. Step 4: Simplify right side
    21,864x = 2,634,768,900
  5. Step 5: Solve for x
    x = 2,634,768,900/21,864
  6. Step 6: Final answer
    x = 120,507.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.