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Finding the Third Proportional to 7,170.56 and 15,378.94

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Solution

The third proportional to 7,170.56 and 15,378.94 is: 32,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.56 : 15,378.94 = 15,378.94 : x
  2. Step 2: Convert to fraction form
    7,170.56/15,378.94 = 15,378.94/x
  3. Step 3: Cross multiply
    7,170.56x = 15,378.94 × 15,378.94
  4. Step 4: Simplify right side
    7,170.56x = 236,511,718.63
  5. Step 5: Solve for x
    x = 236,511,718.63/7,170.56
  6. Step 6: Final answer
    x = 32,983.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.