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Finding the Third Proportional to 28,586 and 44,707

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Solution

The third proportional to 28,586 and 44,707 is: 69,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,586 : 44,707 = 44,707 : x
  2. Step 2: Convert to fraction form
    28,586/44,707 = 44,707/x
  3. Step 3: Cross multiply
    28,586x = 44,707 × 44,707
  4. Step 4: Simplify right side
    28,586x = 1,998,715,849
  5. Step 5: Solve for x
    x = 1,998,715,849/28,586
  6. Step 6: Final answer
    x = 69,919.40

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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.