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Finding the Third Proportional to 2,654.02 and 7,219.76

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Solution

The third proportional to 2,654.02 and 7,219.76 is: 19,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.02 : 7,219.76 = 7,219.76 : x
  2. Step 2: Convert to fraction form
    2,654.02/7,219.76 = 7,219.76/x
  3. Step 3: Cross multiply
    2,654.02x = 7,219.76 × 7,219.76
  4. Step 4: Simplify right side
    2,654.02x = 52,124,902.87
  5. Step 5: Solve for x
    x = 52,124,902.87/2,654.02
  6. Step 6: Final answer
    x = 19,640.01

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.