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Finding the Third Proportional to 9,242.44 and 13,538.81

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Solution

The third proportional to 9,242.44 and 13,538.81 is: 19,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.44 : 13,538.81 = 13,538.81 : x
  2. Step 2: Convert to fraction form
    9,242.44/13,538.81 = 13,538.81/x
  3. Step 3: Cross multiply
    9,242.44x = 13,538.81 × 13,538.81
  4. Step 4: Simplify right side
    9,242.44x = 183,299,443.91
  5. Step 5: Solve for x
    x = 183,299,443.91/9,242.44
  6. Step 6: Final answer
    x = 19,832.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.