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Finding the Third Proportional to 18,427 and 28,826

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Solution

The third proportional to 18,427 and 28,826 is: 45,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,427 : 28,826 = 28,826 : x
  2. Step 2: Convert to fraction form
    18,427/28,826 = 28,826/x
  3. Step 3: Cross multiply
    18,427x = 28,826 × 28,826
  4. Step 4: Simplify right side
    18,427x = 830,938,276
  5. Step 5: Solve for x
    x = 830,938,276/18,427
  6. Step 6: Final answer
    x = 45,093.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.