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Finding the Third Proportional to 6,730.13 and 15,719.63

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Solution

The third proportional to 6,730.13 and 15,719.63 is: 36,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.13 : 15,719.63 = 15,719.63 : x
  2. Step 2: Convert to fraction form
    6,730.13/15,719.63 = 15,719.63/x
  3. Step 3: Cross multiply
    6,730.13x = 15,719.63 × 15,719.63
  4. Step 4: Simplify right side
    6,730.13x = 247,106,610.14
  5. Step 5: Solve for x
    x = 247,106,610.14/6,730.13
  6. Step 6: Final answer
    x = 36,716.50

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.