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Finding the Third Proportional to 12,489.19 and 21,196.69

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Solution

The third proportional to 12,489.19 and 21,196.69 is: 35,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.19 : 21,196.69 = 21,196.69 : x
  2. Step 2: Convert to fraction form
    12,489.19/21,196.69 = 21,196.69/x
  3. Step 3: Cross multiply
    12,489.19x = 21,196.69 × 21,196.69
  4. Step 4: Simplify right side
    12,489.19x = 449,299,560.97
  5. Step 5: Solve for x
    x = 449,299,560.97/12,489.19
  6. Step 6: Final answer
    x = 35,975.08

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.