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Finding the Third Proportional to 13,861.50 and 28,707

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Solution

The third proportional to 13,861.50 and 28,707 is: 59,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.50 : 28,707 = 28,707 : x
  2. Step 2: Convert to fraction form
    13,861.50/28,707 = 28,707/x
  3. Step 3: Cross multiply
    13,861.50x = 28,707 × 28,707
  4. Step 4: Simplify right side
    13,861.50x = 824,091,849
  5. Step 5: Solve for x
    x = 824,091,849/13,861.50
  6. Step 6: Final answer
    x = 59,451.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.