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Finding the Third Proportional to 6,927 and 15,089.25

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Solution

The third proportional to 6,927 and 15,089.25 is: 32,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927 : 15,089.25 = 15,089.25 : x
  2. Step 2: Convert to fraction form
    6,927/15,089.25 = 15,089.25/x
  3. Step 3: Cross multiply
    6,927x = 15,089.25 × 15,089.25
  4. Step 4: Simplify right side
    6,927x = 227,685,465.56
  5. Step 5: Solve for x
    x = 227,685,465.56/6,927
  6. Step 6: Final answer
    x = 32,869.27

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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.