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Finding the Third Proportional to 36,403.50 and 57,117

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Solution

The third proportional to 36,403.50 and 57,117 is: 89,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,403.50 : 57,117 = 57,117 : x
  2. Step 2: Convert to fraction form
    36,403.50/57,117 = 57,117/x
  3. Step 3: Cross multiply
    36,403.50x = 57,117 × 57,117
  4. Step 4: Simplify right side
    36,403.50x = 3,262,351,689
  5. Step 5: Solve for x
    x = 3,262,351,689/36,403.50
  6. Step 6: Final answer
    x = 89,616.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.