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Finding the Third Proportional to 9,283 and 20,413

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Solution

The third proportional to 9,283 and 20,413 is: 44,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283 : 20,413 = 20,413 : x
  2. Step 2: Convert to fraction form
    9,283/20,413 = 20,413/x
  3. Step 3: Cross multiply
    9,283x = 20,413 × 20,413
  4. Step 4: Simplify right side
    9,283x = 416,690,569
  5. Step 5: Solve for x
    x = 416,690,569/9,283
  6. Step 6: Final answer
    x = 44,887.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.