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Finding the Third Proportional to 28,674 and 43,023

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Solution

The third proportional to 28,674 and 43,023 is: 64,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,674 : 43,023 = 43,023 : x
  2. Step 2: Convert to fraction form
    28,674/43,023 = 43,023/x
  3. Step 3: Cross multiply
    28,674x = 43,023 × 43,023
  4. Step 4: Simplify right side
    28,674x = 1,850,978,529
  5. Step 5: Solve for x
    x = 1,850,978,529/28,674
  6. Step 6: Final answer
    x = 64,552.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.