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Finding the Third Proportional to 4,652.44 and 9,099.84

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Solution

The third proportional to 4,652.44 and 9,099.84 is: 17,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.44 : 9,099.84 = 9,099.84 : x
  2. Step 2: Convert to fraction form
    4,652.44/9,099.84 = 9,099.84/x
  3. Step 3: Cross multiply
    4,652.44x = 9,099.84 × 9,099.84
  4. Step 4: Simplify right side
    4,652.44x = 82,807,156.27
  5. Step 5: Solve for x
    x = 82,807,156.27/4,652.44
  6. Step 6: Final answer
    x = 17,798.66

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.