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Finding the Third Proportional to 4,612.50 and 9,497.25

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Solution

The third proportional to 4,612.50 and 9,497.25 is: 19,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.50 : 9,497.25 = 9,497.25 : x
  2. Step 2: Convert to fraction form
    4,612.50/9,497.25 = 9,497.25/x
  3. Step 3: Cross multiply
    4,612.50x = 9,497.25 × 9,497.25
  4. Step 4: Simplify right side
    4,612.50x = 90,197,757.56
  5. Step 5: Solve for x
    x = 90,197,757.56/4,612.50
  6. Step 6: Final answer
    x = 19,555.07

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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.