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Finding the Third Proportional to 36,232.31 and 55,722.94

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Solution

The third proportional to 36,232.31 and 55,722.94 is: 85,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232.31 : 55,722.94 = 55,722.94 : x
  2. Step 2: Convert to fraction form
    36,232.31/55,722.94 = 55,722.94/x
  3. Step 3: Cross multiply
    36,232.31x = 55,722.94 × 55,722.94
  4. Step 4: Simplify right side
    36,232.31x = 3,105,045,763.63
  5. Step 5: Solve for x
    x = 3,105,045,763.63/36,232.31
  6. Step 6: Final answer
    x = 85,698.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.