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Finding the Third Proportional to 7,206.47 and 15,529.22

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Solution

The third proportional to 7,206.47 and 15,529.22 is: 33,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.47 : 15,529.22 = 15,529.22 : x
  2. Step 2: Convert to fraction form
    7,206.47/15,529.22 = 15,529.22/x
  3. Step 3: Cross multiply
    7,206.47x = 15,529.22 × 15,529.22
  4. Step 4: Simplify right side
    7,206.47x = 241,156,634.99
  5. Step 5: Solve for x
    x = 241,156,634.99/7,206.47
  6. Step 6: Final answer
    x = 33,463.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.