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Finding the Third Proportional to 11,031.19 and 24,031.69

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Solution

The third proportional to 11,031.19 and 24,031.69 is: 52,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.19 : 24,031.69 = 24,031.69 : x
  2. Step 2: Convert to fraction form
    11,031.19/24,031.69 = 24,031.69/x
  3. Step 3: Cross multiply
    11,031.19x = 24,031.69 × 24,031.69
  4. Step 4: Simplify right side
    11,031.19x = 577,522,004.10
  5. Step 5: Solve for x
    x = 577,522,004.10/11,031.19
  6. Step 6: Final answer
    x = 52,353.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.