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Finding the Third Proportional to 31,415.34 and 67,265.44

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Solution

The third proportional to 31,415.34 and 67,265.44 is: 144,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415.34 : 67,265.44 = 67,265.44 : x
  2. Step 2: Convert to fraction form
    31,415.34/67,265.44 = 67,265.44/x
  3. Step 3: Cross multiply
    31,415.34x = 67,265.44 × 67,265.44
  4. Step 4: Simplify right side
    31,415.34x = 4,524,639,082.07
  5. Step 5: Solve for x
    x = 4,524,639,082.07/31,415.34
  6. Step 6: Final answer
    x = 144,026.41

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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.