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Finding the Third Proportional to 36,308 and 57,057

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Solution

The third proportional to 36,308 and 57,057 is: 89,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,308 : 57,057 = 57,057 : x
  2. Step 2: Convert to fraction form
    36,308/57,057 = 57,057/x
  3. Step 3: Cross multiply
    36,308x = 57,057 × 57,057
  4. Step 4: Simplify right side
    36,308x = 3,255,501,249
  5. Step 5: Solve for x
    x = 3,255,501,249/36,308
  6. Step 6: Final answer
    x = 89,663.47

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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.