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Finding the Third Proportional to 8,892.28 and 18,878.06

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Solution

The third proportional to 8,892.28 and 18,878.06 is: 40,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892.28 : 18,878.06 = 18,878.06 : x
  2. Step 2: Convert to fraction form
    8,892.28/18,878.06 = 18,878.06/x
  3. Step 3: Cross multiply
    8,892.28x = 18,878.06 × 18,878.06
  4. Step 4: Simplify right side
    8,892.28x = 356,381,243.75
  5. Step 5: Solve for x
    x = 356,381,243.75/8,892.28
  6. Step 6: Final answer
    x = 40,077.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.