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Finding the Third Proportional to 9,828.84 and 21,217.78

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Solution

The third proportional to 9,828.84 and 21,217.78 is: 45,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.84 : 21,217.78 = 21,217.78 : x
  2. Step 2: Convert to fraction form
    9,828.84/21,217.78 = 21,217.78/x
  3. Step 3: Cross multiply
    9,828.84x = 21,217.78 × 21,217.78
  4. Step 4: Simplify right side
    9,828.84x = 450,194,241.17
  5. Step 5: Solve for x
    x = 450,194,241.17/9,828.84
  6. Step 6: Final answer
    x = 45,803.38

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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.