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Finding the Third Proportional to 27,042 and 41,090

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Solution

The third proportional to 27,042 and 41,090 is: 62,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042 : 41,090 = 41,090 : x
  2. Step 2: Convert to fraction form
    27,042/41,090 = 41,090/x
  3. Step 3: Cross multiply
    27,042x = 41,090 × 41,090
  4. Step 4: Simplify right side
    27,042x = 1,688,388,100
  5. Step 5: Solve for x
    x = 1,688,388,100/27,042
  6. Step 6: Final answer
    x = 62,435.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.