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Finding the Third Proportional to 3,468.66 and 7,491.23

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Solution

The third proportional to 3,468.66 and 7,491.23 is: 16,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.66 : 7,491.23 = 7,491.23 : x
  2. Step 2: Convert to fraction form
    3,468.66/7,491.23 = 7,491.23/x
  3. Step 3: Cross multiply
    3,468.66x = 7,491.23 × 7,491.23
  4. Step 4: Simplify right side
    3,468.66x = 56,118,592.46
  5. Step 5: Solve for x
    x = 56,118,592.46/3,468.66
  6. Step 6: Final answer
    x = 16,178.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.