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Finding the Third Proportional to 30,022 and 43,875

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Solution

The third proportional to 30,022 and 43,875 is: 64,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022 : 43,875 = 43,875 : x
  2. Step 2: Convert to fraction form
    30,022/43,875 = 43,875/x
  3. Step 3: Cross multiply
    30,022x = 43,875 × 43,875
  4. Step 4: Simplify right side
    30,022x = 1,925,015,625
  5. Step 5: Solve for x
    x = 1,925,015,625/30,022
  6. Step 6: Final answer
    x = 64,120.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.