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Finding the Third Proportional to 18,068 and 28,774

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Solution

The third proportional to 18,068 and 28,774 is: 45,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,068 : 28,774 = 28,774 : x
  2. Step 2: Convert to fraction form
    18,068/28,774 = 28,774/x
  3. Step 3: Cross multiply
    18,068x = 28,774 × 28,774
  4. Step 4: Simplify right side
    18,068x = 827,943,076
  5. Step 5: Solve for x
    x = 827,943,076/18,068
  6. Step 6: Final answer
    x = 45,823.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.