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Finding the Third Proportional to 11,339.37 and 24,031.37

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Solution

The third proportional to 11,339.37 and 24,031.37 is: 50,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.37 : 24,031.37 = 24,031.37 : x
  2. Step 2: Convert to fraction form
    11,339.37/24,031.37 = 24,031.37/x
  3. Step 3: Cross multiply
    11,339.37x = 24,031.37 × 24,031.37
  4. Step 4: Simplify right side
    11,339.37x = 577,506,796.65
  5. Step 5: Solve for x
    x = 577,506,796.65/11,339.37
  6. Step 6: Final answer
    x = 50,929.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.