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Finding the Third Proportional to 9,641 and 20,281

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Solution

The third proportional to 9,641 and 20,281 is: 42,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641 : 20,281 = 20,281 : x
  2. Step 2: Convert to fraction form
    9,641/20,281 = 20,281/x
  3. Step 3: Cross multiply
    9,641x = 20,281 × 20,281
  4. Step 4: Simplify right side
    9,641x = 411,318,961
  5. Step 5: Solve for x
    x = 411,318,961/9,641
  6. Step 6: Final answer
    x = 42,663.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.