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Finding the Third Proportional to 36,546.19 and 58,145.34

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Solution

The third proportional to 36,546.19 and 58,145.34 is: 92,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546.19 : 58,145.34 = 58,145.34 : x
  2. Step 2: Convert to fraction form
    36,546.19/58,145.34 = 58,145.34/x
  3. Step 3: Cross multiply
    36,546.19x = 58,145.34 × 58,145.34
  4. Step 4: Simplify right side
    36,546.19x = 3,380,880,999.81
  5. Step 5: Solve for x
    x = 3,380,880,999.81/36,546.19
  6. Step 6: Final answer
    x = 92,509.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.