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Finding the Third Proportional to 6,722.25 and 10,442.63

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Solution

The third proportional to 6,722.25 and 10,442.63 is: 16,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.25 : 10,442.63 = 10,442.63 : x
  2. Step 2: Convert to fraction form
    6,722.25/10,442.63 = 10,442.63/x
  3. Step 3: Cross multiply
    6,722.25x = 10,442.63 × 10,442.63
  4. Step 4: Simplify right side
    6,722.25x = 109,048,416.89
  5. Step 5: Solve for x
    x = 109,048,416.89/6,722.25
  6. Step 6: Final answer
    x = 16,222.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.