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Finding the Third Proportional to 7,772.09 and 16,652.20

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Solution

The third proportional to 7,772.09 and 16,652.20 is: 35,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.09 : 16,652.20 = 16,652.20 : x
  2. Step 2: Convert to fraction form
    7,772.09/16,652.20 = 16,652.20/x
  3. Step 3: Cross multiply
    7,772.09x = 16,652.20 × 16,652.20
  4. Step 4: Simplify right side
    7,772.09x = 277,295,868.92
  5. Step 5: Solve for x
    x = 277,295,868.92/7,772.09
  6. Step 6: Final answer
    x = 35,678.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.