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Finding the Third Proportional to 22,419 and 35,815

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Solution

The third proportional to 22,419 and 35,815 is: 57,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419 : 35,815 = 35,815 : x
  2. Step 2: Convert to fraction form
    22,419/35,815 = 35,815/x
  3. Step 3: Cross multiply
    22,419x = 35,815 × 35,815
  4. Step 4: Simplify right side
    22,419x = 1,282,714,225
  5. Step 5: Solve for x
    x = 1,282,714,225/22,419
  6. Step 6: Final answer
    x = 57,215.50

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.