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Finding the Third Proportional to 12,787.88 and 19,472.91

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Solution

The third proportional to 12,787.88 and 19,472.91 is: 29,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.88 : 19,472.91 = 19,472.91 : x
  2. Step 2: Convert to fraction form
    12,787.88/19,472.91 = 19,472.91/x
  3. Step 3: Cross multiply
    12,787.88x = 19,472.91 × 19,472.91
  4. Step 4: Simplify right side
    12,787.88x = 379,194,077.82
  5. Step 5: Solve for x
    x = 379,194,077.82/12,787.88
  6. Step 6: Final answer
    x = 29,652.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.