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Finding the Third Proportional to 6,484.22 and 10,322.44

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Solution

The third proportional to 6,484.22 and 10,322.44 is: 16,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.22 : 10,322.44 = 10,322.44 : x
  2. Step 2: Convert to fraction form
    6,484.22/10,322.44 = 10,322.44/x
  3. Step 3: Cross multiply
    6,484.22x = 10,322.44 × 10,322.44
  4. Step 4: Simplify right side
    6,484.22x = 106,552,715.94
  5. Step 5: Solve for x
    x = 106,552,715.94/6,484.22
  6. Step 6: Final answer
    x = 16,432.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.