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Finding the Third Proportional to 3,483.56 and 7,511.34

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Solution

The third proportional to 3,483.56 and 7,511.34 is: 16,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.56 : 7,511.34 = 7,511.34 : x
  2. Step 2: Convert to fraction form
    3,483.56/7,511.34 = 7,511.34/x
  3. Step 3: Cross multiply
    3,483.56x = 7,511.34 × 7,511.34
  4. Step 4: Simplify right side
    3,483.56x = 56,420,284.93
  5. Step 5: Solve for x
    x = 56,420,284.93/3,483.56
  6. Step 6: Final answer
    x = 16,196.15

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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.