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Finding the Third Proportional to 37,058 and 55,431

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Solution

The third proportional to 37,058 and 55,431 is: 82,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,058 : 55,431 = 55,431 : x
  2. Step 2: Convert to fraction form
    37,058/55,431 = 55,431/x
  3. Step 3: Cross multiply
    37,058x = 55,431 × 55,431
  4. Step 4: Simplify right side
    37,058x = 3,072,595,761
  5. Step 5: Solve for x
    x = 3,072,595,761/37,058
  6. Step 6: Final answer
    x = 82,913.16

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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.