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Finding the Third Proportional to 4,654.97 and 9,976.50

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Solution

The third proportional to 4,654.97 and 9,976.50 is: 21,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.97 : 9,976.50 = 9,976.50 : x
  2. Step 2: Convert to fraction form
    4,654.97/9,976.50 = 9,976.50/x
  3. Step 3: Cross multiply
    4,654.97x = 9,976.50 × 9,976.50
  4. Step 4: Simplify right side
    4,654.97x = 99,530,552.25
  5. Step 5: Solve for x
    x = 99,530,552.25/4,654.97
  6. Step 6: Final answer
    x = 21,381.57

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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.