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Finding the Third Proportional to 30,074 and 45,819

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Solution

The third proportional to 30,074 and 45,819 is: 69,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074 : 45,819 = 45,819 : x
  2. Step 2: Convert to fraction form
    30,074/45,819 = 45,819/x
  3. Step 3: Cross multiply
    30,074x = 45,819 × 45,819
  4. Step 4: Simplify right side
    30,074x = 2,099,380,761
  5. Step 5: Solve for x
    x = 2,099,380,761/30,074
  6. Step 6: Final answer
    x = 69,807.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.