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Finding the Third Proportional to 37,058 and 55,907

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Solution

The third proportional to 37,058 and 55,907 is: 84,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,058 : 55,907 = 55,907 : x
  2. Step 2: Convert to fraction form
    37,058/55,907 = 55,907/x
  3. Step 3: Cross multiply
    37,058x = 55,907 × 55,907
  4. Step 4: Simplify right side
    37,058x = 3,125,592,649
  5. Step 5: Solve for x
    x = 3,125,592,649/37,058
  6. Step 6: Final answer
    x = 84,343.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.