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Finding the Third Proportional to 6,220.23 and 9,519.71

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Solution

The third proportional to 6,220.23 and 9,519.71 is: 14,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220.23 : 9,519.71 = 9,519.71 : x
  2. Step 2: Convert to fraction form
    6,220.23/9,519.71 = 9,519.71/x
  3. Step 3: Cross multiply
    6,220.23x = 9,519.71 × 9,519.71
  4. Step 4: Simplify right side
    6,220.23x = 90,624,970.71
  5. Step 5: Solve for x
    x = 90,624,970.71/6,220.23
  6. Step 6: Final answer
    x = 14,569.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.