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Finding the Third Proportional to 3,497.34 and 7,632.56

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Solution

The third proportional to 3,497.34 and 7,632.56 is: 16,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.34 : 7,632.56 = 7,632.56 : x
  2. Step 2: Convert to fraction form
    3,497.34/7,632.56 = 7,632.56/x
  3. Step 3: Cross multiply
    3,497.34x = 7,632.56 × 7,632.56
  4. Step 4: Simplify right side
    3,497.34x = 58,256,010.32
  5. Step 5: Solve for x
    x = 58,256,010.32/3,497.34
  6. Step 6: Final answer
    x = 16,657.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.