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Finding the Third Proportional to 9,802 and 21,154

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Solution

The third proportional to 9,802 and 21,154 is: 45,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802 : 21,154 = 21,154 : x
  2. Step 2: Convert to fraction form
    9,802/21,154 = 21,154/x
  3. Step 3: Cross multiply
    9,802x = 21,154 × 21,154
  4. Step 4: Simplify right side
    9,802x = 447,491,716
  5. Step 5: Solve for x
    x = 447,491,716/9,802
  6. Step 6: Final answer
    x = 45,653.10

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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.