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Finding the Third Proportional to 9,560 and 20,281

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Solution

The third proportional to 9,560 and 20,281 is: 43,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560 : 20,281 = 20,281 : x
  2. Step 2: Convert to fraction form
    9,560/20,281 = 20,281/x
  3. Step 3: Cross multiply
    9,560x = 20,281 × 20,281
  4. Step 4: Simplify right side
    9,560x = 411,318,961
  5. Step 5: Solve for x
    x = 411,318,961/9,560
  6. Step 6: Final answer
    x = 43,025.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.