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Finding the Third Proportional to 9,282 and 20,323

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Solution

The third proportional to 9,282 and 20,323 is: 44,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282 : 20,323 = 20,323 : x
  2. Step 2: Convert to fraction form
    9,282/20,323 = 20,323/x
  3. Step 3: Cross multiply
    9,282x = 20,323 × 20,323
  4. Step 4: Simplify right side
    9,282x = 413,024,329
  5. Step 5: Solve for x
    x = 413,024,329/9,282
  6. Step 6: Final answer
    x = 44,497.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.