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Finding the Third Proportional to 9,464 and 20,566

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Solution

The third proportional to 9,464 and 20,566 is: 44,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464 : 20,566 = 20,566 : x
  2. Step 2: Convert to fraction form
    9,464/20,566 = 20,566/x
  3. Step 3: Cross multiply
    9,464x = 20,566 × 20,566
  4. Step 4: Simplify right side
    9,464x = 422,960,356
  5. Step 5: Solve for x
    x = 422,960,356/9,464
  6. Step 6: Final answer
    x = 44,691.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.