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Finding the Third Proportional to 2,654.02 and 5,813.02

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Solution

The third proportional to 2,654.02 and 5,813.02 is: 12,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.02 : 5,813.02 = 5,813.02 : x
  2. Step 2: Convert to fraction form
    2,654.02/5,813.02 = 5,813.02/x
  3. Step 3: Cross multiply
    2,654.02x = 5,813.02 × 5,813.02
  4. Step 4: Simplify right side
    2,654.02x = 33,791,150.66
  5. Step 5: Solve for x
    x = 33,791,150.66/2,654.02
  6. Step 6: Final answer
    x = 12,732.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.