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Finding the Third Proportional to 7,168.97 and 15,714.94

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Solution

The third proportional to 7,168.97 and 15,714.94 is: 34,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.97 : 15,714.94 = 15,714.94 : x
  2. Step 2: Convert to fraction form
    7,168.97/15,714.94 = 15,714.94/x
  3. Step 3: Cross multiply
    7,168.97x = 15,714.94 × 15,714.94
  4. Step 4: Simplify right side
    7,168.97x = 246,959,260.63
  5. Step 5: Solve for x
    x = 246,959,260.63/7,168.97
  6. Step 6: Final answer
    x = 34,448.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.