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Finding the Third Proportional to 7,087.82 and 10,688.68

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Solution

The third proportional to 7,087.82 and 10,688.68 is: 16,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.82 : 10,688.68 = 10,688.68 : x
  2. Step 2: Convert to fraction form
    7,087.82/10,688.68 = 10,688.68/x
  3. Step 3: Cross multiply
    7,087.82x = 10,688.68 × 10,688.68
  4. Step 4: Simplify right side
    7,087.82x = 114,247,831.71
  5. Step 5: Solve for x
    x = 114,247,831.71/7,087.82
  6. Step 6: Final answer
    x = 16,118.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.