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Finding the Third Proportional to 3,468.45 and 7,483.64

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Solution

The third proportional to 3,468.45 and 7,483.64 is: 16,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.45 : 7,483.64 = 7,483.64 : x
  2. Step 2: Convert to fraction form
    3,468.45/7,483.64 = 7,483.64/x
  3. Step 3: Cross multiply
    3,468.45x = 7,483.64 × 7,483.64
  4. Step 4: Simplify right side
    3,468.45x = 56,004,877.00
  5. Step 5: Solve for x
    x = 56,004,877.00/3,468.45
  6. Step 6: Final answer
    x = 16,146.97

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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.