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Finding the Third Proportional to 4,616.19 and 9,504.56

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Solution

The third proportional to 4,616.19 and 9,504.56 is: 19,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.19 : 9,504.56 = 9,504.56 : x
  2. Step 2: Convert to fraction form
    4,616.19/9,504.56 = 9,504.56/x
  3. Step 3: Cross multiply
    4,616.19x = 9,504.56 × 9,504.56
  4. Step 4: Simplify right side
    4,616.19x = 90,336,708.32
  5. Step 5: Solve for x
    x = 90,336,708.32/4,616.19
  6. Step 6: Final answer
    x = 19,569.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.