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Finding the Third Proportional to 41,076 and 58,738

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Solution

The third proportional to 41,076 and 58,738 is: 83,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,076 : 58,738 = 58,738 : x
  2. Step 2: Convert to fraction form
    41,076/58,738 = 58,738/x
  3. Step 3: Cross multiply
    41,076x = 58,738 × 58,738
  4. Step 4: Simplify right side
    41,076x = 3,450,152,644
  5. Step 5: Solve for x
    x = 3,450,152,644/41,076
  6. Step 6: Final answer
    x = 83,994.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.