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Finding the Third Proportional to 10,160.44 and 14,933.11

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Solution

The third proportional to 10,160.44 and 14,933.11 is: 21,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.44 : 14,933.11 = 14,933.11 : x
  2. Step 2: Convert to fraction form
    10,160.44/14,933.11 = 14,933.11/x
  3. Step 3: Cross multiply
    10,160.44x = 14,933.11 × 14,933.11
  4. Step 4: Simplify right side
    10,160.44x = 222,997,755.61
  5. Step 5: Solve for x
    x = 222,997,755.61/10,160.44
  6. Step 6: Final answer
    x = 21,947.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.