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Finding the Third Proportional to 9,584 and 20,656

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Solution

The third proportional to 9,584 and 20,656 is: 44,519.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584 : 20,656 = 20,656 : x
  2. Step 2: Convert to fraction form
    9,584/20,656 = 20,656/x
  3. Step 3: Cross multiply
    9,584x = 20,656 × 20,656
  4. Step 4: Simplify right side
    9,584x = 426,670,336
  5. Step 5: Solve for x
    x = 426,670,336/9,584
  6. Step 6: Final answer
    x = 44,519.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.