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Finding the Third Proportional to 12,026.50 and 25,829

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Solution

The third proportional to 12,026.50 and 25,829 is: 55,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.50 : 25,829 = 25,829 : x
  2. Step 2: Convert to fraction form
    12,026.50/25,829 = 25,829/x
  3. Step 3: Cross multiply
    12,026.50x = 25,829 × 25,829
  4. Step 4: Simplify right side
    12,026.50x = 667,137,241
  5. Step 5: Solve for x
    x = 667,137,241/12,026.50
  6. Step 6: Final answer
    x = 55,472.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.