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Finding the Third Proportional to 36,907 and 57,304

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Solution

The third proportional to 36,907 and 57,304 is: 88,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,907 : 57,304 = 57,304 : x
  2. Step 2: Convert to fraction form
    36,907/57,304 = 57,304/x
  3. Step 3: Cross multiply
    36,907x = 57,304 × 57,304
  4. Step 4: Simplify right side
    36,907x = 3,283,748,416
  5. Step 5: Solve for x
    x = 3,283,748,416/36,907
  6. Step 6: Final answer
    x = 88,973.59

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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.