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Finding the Third Proportional to 4,654.97 and 7,214.06

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Solution

The third proportional to 4,654.97 and 7,214.06 is: 11,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.97 : 7,214.06 = 7,214.06 : x
  2. Step 2: Convert to fraction form
    4,654.97/7,214.06 = 7,214.06/x
  3. Step 3: Cross multiply
    4,654.97x = 7,214.06 × 7,214.06
  4. Step 4: Simplify right side
    4,654.97x = 52,042,697.75
  5. Step 5: Solve for x
    x = 52,042,697.75/4,654.97
  6. Step 6: Final answer
    x = 11,180.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.