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Finding the Third Proportional to 18,354 and 28,074

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Solution

The third proportional to 18,354 and 28,074 is: 42,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,354 : 28,074 = 28,074 : x
  2. Step 2: Convert to fraction form
    18,354/28,074 = 28,074/x
  3. Step 3: Cross multiply
    18,354x = 28,074 × 28,074
  4. Step 4: Simplify right side
    18,354x = 788,149,476
  5. Step 5: Solve for x
    x = 788,149,476/18,354
  6. Step 6: Final answer
    x = 42,941.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.