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Finding the Third Proportional to 36,907 and 57,303

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Solution

The third proportional to 36,907 and 57,303 is: 88,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,907 : 57,303 = 57,303 : x
  2. Step 2: Convert to fraction form
    36,907/57,303 = 57,303/x
  3. Step 3: Cross multiply
    36,907x = 57,303 × 57,303
  4. Step 4: Simplify right side
    36,907x = 3,283,633,809
  5. Step 5: Solve for x
    x = 3,283,633,809/36,907
  6. Step 6: Final answer
    x = 88,970.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.