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Finding the Third Proportional to 19,456 and 21,376

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Solution

The third proportional to 19,456 and 21,376 is: 23,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456 : 21,376 = 21,376 : x
  2. Step 2: Convert to fraction form
    19,456/21,376 = 21,376/x
  3. Step 3: Cross multiply
    19,456x = 21,376 × 21,376
  4. Step 4: Simplify right side
    19,456x = 456,933,376
  5. Step 5: Solve for x
    x = 456,933,376/19,456
  6. Step 6: Final answer
    x = 23,485.47

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.