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Finding the Third Proportional to 12,301.88 and 19,221.68

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Solution

The third proportional to 12,301.88 and 19,221.68 is: 30,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.88 : 19,221.68 = 19,221.68 : x
  2. Step 2: Convert to fraction form
    12,301.88/19,221.68 = 19,221.68/x
  3. Step 3: Cross multiply
    12,301.88x = 19,221.68 × 19,221.68
  4. Step 4: Simplify right side
    12,301.88x = 369,472,970.01
  5. Step 5: Solve for x
    x = 369,472,970.01/12,301.88
  6. Step 6: Final answer
    x = 30,033.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.