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Finding the Third Proportional to 12,301.88 and 19,084.99

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Solution

The third proportional to 12,301.88 and 19,084.99 is: 29,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.88 : 19,084.99 = 19,084.99 : x
  2. Step 2: Convert to fraction form
    12,301.88/19,084.99 = 19,084.99/x
  3. Step 3: Cross multiply
    12,301.88x = 19,084.99 × 19,084.99
  4. Step 4: Simplify right side
    12,301.88x = 364,236,926.80
  5. Step 5: Solve for x
    x = 364,236,926.80/12,301.88
  6. Step 6: Final answer
    x = 29,608.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.