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Finding the Third Proportional to 37,058 and 57,468

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Solution

The third proportional to 37,058 and 57,468 is: 89,118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,058 : 57,468 = 57,468 : x
  2. Step 2: Convert to fraction form
    37,058/57,468 = 57,468/x
  3. Step 3: Cross multiply
    37,058x = 57,468 × 57,468
  4. Step 4: Simplify right side
    37,058x = 3,302,571,024
  5. Step 5: Solve for x
    x = 3,302,571,024/37,058
  6. Step 6: Final answer
    x = 89,118.98

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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.