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Finding the Third Proportional to 39,970 and 60,058

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Solution

The third proportional to 39,970 and 60,058 is: 90,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970 : 60,058 = 60,058 : x
  2. Step 2: Convert to fraction form
    39,970/60,058 = 60,058/x
  3. Step 3: Cross multiply
    39,970x = 60,058 × 60,058
  4. Step 4: Simplify right side
    39,970x = 3,606,963,364
  5. Step 5: Solve for x
    x = 3,606,963,364/39,970
  6. Step 6: Final answer
    x = 90,241.77

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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.