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Finding the Third Proportional to 9,536 and 20,312

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Solution

The third proportional to 9,536 and 20,312 is: 43,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536 : 20,312 = 20,312 : x
  2. Step 2: Convert to fraction form
    9,536/20,312 = 20,312/x
  3. Step 3: Cross multiply
    9,536x = 20,312 × 20,312
  4. Step 4: Simplify right side
    9,536x = 412,577,344
  5. Step 5: Solve for x
    x = 412,577,344/9,536
  6. Step 6: Final answer
    x = 43,265.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.