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Finding the Third Proportional to 9,768 and 21,478

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Solution

The third proportional to 9,768 and 21,478 is: 47,226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768 : 21,478 = 21,478 : x
  2. Step 2: Convert to fraction form
    9,768/21,478 = 21,478/x
  3. Step 3: Cross multiply
    9,768x = 21,478 × 21,478
  4. Step 4: Simplify right side
    9,768x = 461,304,484
  5. Step 5: Solve for x
    x = 461,304,484/9,768
  6. Step 6: Final answer
    x = 47,226.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.