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Finding the Third Proportional to 36,009.56 and 77,349.94

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Solution

The third proportional to 36,009.56 and 77,349.94 is: 166,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,009.56 : 77,349.94 = 77,349.94 : x
  2. Step 2: Convert to fraction form
    36,009.56/77,349.94 = 77,349.94/x
  3. Step 3: Cross multiply
    36,009.56x = 77,349.94 × 77,349.94
  4. Step 4: Simplify right side
    36,009.56x = 5,983,012,831.25
  5. Step 5: Solve for x
    x = 5,983,012,831.25/36,009.56
  6. Step 6: Final answer
    x = 166,150.67

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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.