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Finding the Third Proportional to 4,610.53 and 7,096.22

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Solution

The third proportional to 4,610.53 and 7,096.22 is: 10,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.53 : 7,096.22 = 7,096.22 : x
  2. Step 2: Convert to fraction form
    4,610.53/7,096.22 = 7,096.22/x
  3. Step 3: Cross multiply
    4,610.53x = 7,096.22 × 7,096.22
  4. Step 4: Simplify right side
    4,610.53x = 50,356,320.55
  5. Step 5: Solve for x
    x = 50,356,320.55/4,610.53
  6. Step 6: Final answer
    x = 10,922.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.