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Finding the Third Proportional to 3,427.63 and 7,483.17

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Solution

The third proportional to 3,427.63 and 7,483.17 is: 16,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.63 : 7,483.17 = 7,483.17 : x
  2. Step 2: Convert to fraction form
    3,427.63/7,483.17 = 7,483.17/x
  3. Step 3: Cross multiply
    3,427.63x = 7,483.17 × 7,483.17
  4. Step 4: Simplify right side
    3,427.63x = 55,997,773.62
  5. Step 5: Solve for x
    x = 55,997,773.62/3,427.63
  6. Step 6: Final answer
    x = 16,337.18

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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.