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Finding the Third Proportional to 6,861 and 14,990.25

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Solution

The third proportional to 6,861 and 14,990.25 is: 32,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861 : 14,990.25 = 14,990.25 : x
  2. Step 2: Convert to fraction form
    6,861/14,990.25 = 14,990.25/x
  3. Step 3: Cross multiply
    6,861x = 14,990.25 × 14,990.25
  4. Step 4: Simplify right side
    6,861x = 224,707,595.06
  5. Step 5: Solve for x
    x = 224,707,595.06/6,861
  6. Step 6: Final answer
    x = 32,751.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.