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Finding the Third Proportional to 36,032.63 and 57,255.75

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Solution

The third proportional to 36,032.63 and 57,255.75 is: 90,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,032.63 : 57,255.75 = 57,255.75 : x
  2. Step 2: Convert to fraction form
    36,032.63/57,255.75 = 57,255.75/x
  3. Step 3: Cross multiply
    36,032.63x = 57,255.75 × 57,255.75
  4. Step 4: Simplify right side
    36,032.63x = 3,278,220,908.06
  5. Step 5: Solve for x
    x = 3,278,220,908.06/36,032.63
  6. Step 6: Final answer
    x = 90,979.24

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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.