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Finding the Third Proportional to 11,256.19 and 16,832.81

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Solution

The third proportional to 11,256.19 and 16,832.81 is: 25,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.19 : 16,832.81 = 16,832.81 : x
  2. Step 2: Convert to fraction form
    11,256.19/16,832.81 = 16,832.81/x
  3. Step 3: Cross multiply
    11,256.19x = 16,832.81 × 16,832.81
  4. Step 4: Simplify right side
    11,256.19x = 283,343,576.66
  5. Step 5: Solve for x
    x = 283,343,576.66/11,256.19
  6. Step 6: Final answer
    x = 25,172.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.