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Finding the Third Proportional to 11,594.81 and 16,749.28

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Solution

The third proportional to 11,594.81 and 16,749.28 is: 24,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.81 : 16,749.28 = 16,749.28 : x
  2. Step 2: Convert to fraction form
    11,594.81/16,749.28 = 16,749.28/x
  3. Step 3: Cross multiply
    11,594.81x = 16,749.28 × 16,749.28
  4. Step 4: Simplify right side
    11,594.81x = 280,538,422.39
  5. Step 5: Solve for x
    x = 280,538,422.39/11,594.81
  6. Step 6: Final answer
    x = 24,195.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.