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Finding the Third Proportional to 9,471.38 and 14,858.44

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Solution

The third proportional to 9,471.38 and 14,858.44 is: 23,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.38 : 14,858.44 = 14,858.44 : x
  2. Step 2: Convert to fraction form
    9,471.38/14,858.44 = 14,858.44/x
  3. Step 3: Cross multiply
    9,471.38x = 14,858.44 × 14,858.44
  4. Step 4: Simplify right side
    9,471.38x = 220,773,164.94
  5. Step 5: Solve for x
    x = 220,773,164.94/9,471.38
  6. Step 6: Final answer
    x = 23,309.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.