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Finding the Third Proportional to 37,954 and 57,053

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Solution

The third proportional to 37,954 and 57,053 is: 85,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,954 : 57,053 = 57,053 : x
  2. Step 2: Convert to fraction form
    37,954/57,053 = 57,053/x
  3. Step 3: Cross multiply
    37,954x = 57,053 × 57,053
  4. Step 4: Simplify right side
    37,954x = 3,255,044,809
  5. Step 5: Solve for x
    x = 3,255,044,809/37,954
  6. Step 6: Final answer
    x = 85,762.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.