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Finding the Third Proportional to 9,523 and 20,506

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Solution

The third proportional to 9,523 and 20,506 is: 44,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523 : 20,506 = 20,506 : x
  2. Step 2: Convert to fraction form
    9,523/20,506 = 20,506/x
  3. Step 3: Cross multiply
    9,523x = 20,506 × 20,506
  4. Step 4: Simplify right side
    9,523x = 420,496,036
  5. Step 5: Solve for x
    x = 420,496,036/9,523
  6. Step 6: Final answer
    x = 44,155.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.