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Finding the Third Proportional to 14,190.19 and 30,592.69

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Solution

The third proportional to 14,190.19 and 30,592.69 is: 65,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190.19 : 30,592.69 = 30,592.69 : x
  2. Step 2: Convert to fraction form
    14,190.19/30,592.69 = 30,592.69/x
  3. Step 3: Cross multiply
    14,190.19x = 30,592.69 × 30,592.69
  4. Step 4: Simplify right side
    14,190.19x = 935,912,528.47
  5. Step 5: Solve for x
    x = 935,912,528.47/14,190.19
  6. Step 6: Final answer
    x = 65,954.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.