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Finding the Third Proportional to 12,960.50 and 19,437

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Solution

The third proportional to 12,960.50 and 19,437 is: 29,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.50 : 19,437 = 19,437 : x
  2. Step 2: Convert to fraction form
    12,960.50/19,437 = 19,437/x
  3. Step 3: Cross multiply
    12,960.50x = 19,437 × 19,437
  4. Step 4: Simplify right side
    12,960.50x = 377,796,969
  5. Step 5: Solve for x
    x = 377,796,969/12,960.50
  6. Step 6: Final answer
    x = 29,149.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.