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Finding the Third Proportional to 7,176.94 and 15,392.11

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Solution

The third proportional to 7,176.94 and 15,392.11 is: 33,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.94 : 15,392.11 = 15,392.11 : x
  2. Step 2: Convert to fraction form
    7,176.94/15,392.11 = 15,392.11/x
  3. Step 3: Cross multiply
    7,176.94x = 15,392.11 × 15,392.11
  4. Step 4: Simplify right side
    7,176.94x = 236,917,031.01
  5. Step 5: Solve for x
    x = 236,917,031.01/7,176.94
  6. Step 6: Final answer
    x = 33,010.88

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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.