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Finding the Third Proportional to 9,861 and 21,285

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Solution

The third proportional to 9,861 and 21,285 is: 45,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861 : 21,285 = 21,285 : x
  2. Step 2: Convert to fraction form
    9,861/21,285 = 21,285/x
  3. Step 3: Cross multiply
    9,861x = 21,285 × 21,285
  4. Step 4: Simplify right side
    9,861x = 453,051,225
  5. Step 5: Solve for x
    x = 453,051,225/9,861
  6. Step 6: Final answer
    x = 45,943.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.