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Finding the Third Proportional to 10,031.75 and 15,314.75

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Solution

The third proportional to 10,031.75 and 15,314.75 is: 23,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.75 : 15,314.75 = 15,314.75 : x
  2. Step 2: Convert to fraction form
    10,031.75/15,314.75 = 15,314.75/x
  3. Step 3: Cross multiply
    10,031.75x = 15,314.75 × 15,314.75
  4. Step 4: Simplify right side
    10,031.75x = 234,541,567.56
  5. Step 5: Solve for x
    x = 234,541,567.56/10,031.75
  6. Step 6: Final answer
    x = 23,379.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.