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Finding the Third Proportional to 4,652.44 and 5,019.47

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Solution

The third proportional to 4,652.44 and 5,019.47 is: 5,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.44 : 5,019.47 = 5,019.47 : x
  2. Step 2: Convert to fraction form
    4,652.44/5,019.47 = 5,019.47/x
  3. Step 3: Cross multiply
    4,652.44x = 5,019.47 × 5,019.47
  4. Step 4: Simplify right side
    4,652.44x = 25,195,066.53
  5. Step 5: Solve for x
    x = 25,195,066.53/4,652.44
  6. Step 6: Final answer
    x = 5,415.46

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.