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Finding the Third Proportional to 7,319.11 and 15,748.17

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Solution

The third proportional to 7,319.11 and 15,748.17 is: 33,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.11 : 15,748.17 = 15,748.17 : x
  2. Step 2: Convert to fraction form
    7,319.11/15,748.17 = 15,748.17/x
  3. Step 3: Cross multiply
    7,319.11x = 15,748.17 × 15,748.17
  4. Step 4: Simplify right side
    7,319.11x = 248,004,917.40
  5. Step 5: Solve for x
    x = 248,004,917.40/7,319.11
  6. Step 6: Final answer
    x = 33,884.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.