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Finding the Third Proportional to 9,491.24 and 14,608.48

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Solution

The third proportional to 9,491.24 and 14,608.48 is: 22,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.24 : 14,608.48 = 14,608.48 : x
  2. Step 2: Convert to fraction form
    9,491.24/14,608.48 = 14,608.48/x
  3. Step 3: Cross multiply
    9,491.24x = 14,608.48 × 14,608.48
  4. Step 4: Simplify right side
    9,491.24x = 213,407,587.48
  5. Step 5: Solve for x
    x = 213,407,587.48/9,491.24
  6. Step 6: Final answer
    x = 22,484.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.