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Finding the Third Proportional to 9,794 and 21,768

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Solution

The third proportional to 9,794 and 21,768 is: 48,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794 : 21,768 = 21,768 : x
  2. Step 2: Convert to fraction form
    9,794/21,768 = 21,768/x
  3. Step 3: Cross multiply
    9,794x = 21,768 × 21,768
  4. Step 4: Simplify right side
    9,794x = 473,845,824
  5. Step 5: Solve for x
    x = 473,845,824/9,794
  6. Step 6: Final answer
    x = 48,381.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.