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Finding the Third Proportional to 9,317 and 21,767

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Solution

The third proportional to 9,317 and 21,767 is: 50,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317 : 21,767 = 21,767 : x
  2. Step 2: Convert to fraction form
    9,317/21,767 = 21,767/x
  3. Step 3: Cross multiply
    9,317x = 21,767 × 21,767
  4. Step 4: Simplify right side
    9,317x = 473,802,289
  5. Step 5: Solve for x
    x = 473,802,289/9,317
  6. Step 6: Final answer
    x = 50,853.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.