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Finding the Third Proportional to 9,724 and 21,392

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Solution

The third proportional to 9,724 and 21,392 is: 47,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 21,392 = 21,392 : x
  2. Step 2: Convert to fraction form
    9,724/21,392 = 21,392/x
  3. Step 3: Cross multiply
    9,724x = 21,392 × 21,392
  4. Step 4: Simplify right side
    9,724x = 457,617,664
  5. Step 5: Solve for x
    x = 457,617,664/9,724
  6. Step 6: Final answer
    x = 47,060.64

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