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Finding the Third Proportional to 10,175.63 and 13,614.75

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Solution

The third proportional to 10,175.63 and 13,614.75 is: 18,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.63 : 13,614.75 = 13,614.75 : x
  2. Step 2: Convert to fraction form
    10,175.63/13,614.75 = 13,614.75/x
  3. Step 3: Cross multiply
    10,175.63x = 13,614.75 × 13,614.75
  4. Step 4: Simplify right side
    10,175.63x = 185,361,417.56
  5. Step 5: Solve for x
    x = 185,361,417.56/10,175.63
  6. Step 6: Final answer
    x = 18,216.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.