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Finding the Third Proportional to 9,715 and 21,374

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Solution

The third proportional to 9,715 and 21,374 is: 47,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715 : 21,374 = 21,374 : x
  2. Step 2: Convert to fraction form
    9,715/21,374 = 21,374/x
  3. Step 3: Cross multiply
    9,715x = 21,374 × 21,374
  4. Step 4: Simplify right side
    9,715x = 456,847,876
  5. Step 5: Solve for x
    x = 456,847,876/9,715
  6. Step 6: Final answer
    x = 47,025.00

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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.