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Finding the Third Proportional to 10,160.44 and 18,635.06

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Solution

The third proportional to 10,160.44 and 18,635.06 is: 34,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.44 : 18,635.06 = 18,635.06 : x
  2. Step 2: Convert to fraction form
    10,160.44/18,635.06 = 18,635.06/x
  3. Step 3: Cross multiply
    10,160.44x = 18,635.06 × 18,635.06
  4. Step 4: Simplify right side
    10,160.44x = 347,265,554.38
  5. Step 5: Solve for x
    x = 347,265,554.38/10,160.44
  6. Step 6: Final answer
    x = 34,178.21

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.