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Finding the Third Proportional to 12,418.31 and 19,000.41

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Solution

The third proportional to 12,418.31 and 19,000.41 is: 29,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.31 : 19,000.41 = 19,000.41 : x
  2. Step 2: Convert to fraction form
    12,418.31/19,000.41 = 19,000.41/x
  3. Step 3: Cross multiply
    12,418.31x = 19,000.41 × 19,000.41
  4. Step 4: Simplify right side
    12,418.31x = 361,015,437.67
  5. Step 5: Solve for x
    x = 361,015,437.67/12,418.31
  6. Step 6: Final answer
    x = 29,071.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.