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Finding the Third Proportional to 9,884 and 23,312

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Solution

The third proportional to 9,884 and 23,312 is: 54,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884 : 23,312 = 23,312 : x
  2. Step 2: Convert to fraction form
    9,884/23,312 = 23,312/x
  3. Step 3: Cross multiply
    9,884x = 23,312 × 23,312
  4. Step 4: Simplify right side
    9,884x = 543,449,344
  5. Step 5: Solve for x
    x = 543,449,344/9,884
  6. Step 6: Final answer
    x = 54,982.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.