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Finding the Third Proportional to 22,892.31 and 49,069.74

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Solution

The third proportional to 22,892.31 and 49,069.74 is: 105,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.31 : 49,069.74 = 49,069.74 : x
  2. Step 2: Convert to fraction form
    22,892.31/49,069.74 = 49,069.74/x
  3. Step 3: Cross multiply
    22,892.31x = 49,069.74 × 49,069.74
  4. Step 4: Simplify right side
    22,892.31x = 2,407,839,837.95
  5. Step 5: Solve for x
    x = 2,407,839,837.95/22,892.31
  6. Step 6: Final answer
    x = 105,181.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.