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Finding the Third Proportional to 4,654.50 and 6,634.50

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Solution

The third proportional to 4,654.50 and 6,634.50 is: 9,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.50 : 6,634.50 = 6,634.50 : x
  2. Step 2: Convert to fraction form
    4,654.50/6,634.50 = 6,634.50/x
  3. Step 3: Cross multiply
    4,654.50x = 6,634.50 × 6,634.50
  4. Step 4: Simplify right side
    4,654.50x = 44,016,590.25
  5. Step 5: Solve for x
    x = 44,016,590.25/4,654.50
  6. Step 6: Final answer
    x = 9,456.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.