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Finding the Third Proportional to 41,130 and 55,736

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Solution

The third proportional to 41,130 and 55,736 is: 75,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,130 : 55,736 = 55,736 : x
  2. Step 2: Convert to fraction form
    41,130/55,736 = 55,736/x
  3. Step 3: Cross multiply
    41,130x = 55,736 × 55,736
  4. Step 4: Simplify right side
    41,130x = 3,106,501,696
  5. Step 5: Solve for x
    x = 3,106,501,696/41,130
  6. Step 6: Final answer
    x = 75,528.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.