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Finding the Third Proportional to 36,309 and 57,058.50

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Solution

The third proportional to 36,309 and 57,058.50 is: 89,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,309 : 57,058.50 = 57,058.50 : x
  2. Step 2: Convert to fraction form
    36,309/57,058.50 = 57,058.50/x
  3. Step 3: Cross multiply
    36,309x = 57,058.50 × 57,058.50
  4. Step 4: Simplify right side
    36,309x = 3,255,672,422.25
  5. Step 5: Solve for x
    x = 3,255,672,422.25/36,309
  6. Step 6: Final answer
    x = 89,665.71

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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.