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Finding the Third Proportional to 12,544.50 and 29,611.88

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Solution

The third proportional to 12,544.50 and 29,611.88 is: 69,900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.50 : 29,611.88 = 29,611.88 : x
  2. Step 2: Convert to fraction form
    12,544.50/29,611.88 = 29,611.88/x
  3. Step 3: Cross multiply
    12,544.50x = 29,611.88 × 29,611.88
  4. Step 4: Simplify right side
    12,544.50x = 876,863,141.02
  5. Step 5: Solve for x
    x = 876,863,141.02/12,544.50
  6. Step 6: Final answer
    x = 69,900.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.