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Finding the Third Proportional to 9,491 and 22,668

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Solution

The third proportional to 9,491 and 22,668 is: 54,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491 : 22,668 = 22,668 : x
  2. Step 2: Convert to fraction form
    9,491/22,668 = 22,668/x
  3. Step 3: Cross multiply
    9,491x = 22,668 × 22,668
  4. Step 4: Simplify right side
    9,491x = 513,838,224
  5. Step 5: Solve for x
    x = 513,838,224/9,491
  6. Step 6: Final answer
    x = 54,139.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.