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Finding the Third Proportional to 10,031.34 and 21,452.34

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Solution

The third proportional to 10,031.34 and 21,452.34 is: 45,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.34 : 21,452.34 = 21,452.34 : x
  2. Step 2: Convert to fraction form
    10,031.34/21,452.34 = 21,452.34/x
  3. Step 3: Cross multiply
    10,031.34x = 21,452.34 × 21,452.34
  4. Step 4: Simplify right side
    10,031.34x = 460,203,052.37
  5. Step 5: Solve for x
    x = 460,203,052.37/10,031.34
  6. Step 6: Final answer
    x = 45,876.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.