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Finding the Third Proportional to 27,242 and 41,270.50

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Solution

The third proportional to 27,242 and 41,270.50 is: 62,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242 : 41,270.50 = 41,270.50 : x
  2. Step 2: Convert to fraction form
    27,242/41,270.50 = 41,270.50/x
  3. Step 3: Cross multiply
    27,242x = 41,270.50 × 41,270.50
  4. Step 4: Simplify right side
    27,242x = 1,703,254,170.25
  5. Step 5: Solve for x
    x = 1,703,254,170.25/27,242
  6. Step 6: Final answer
    x = 62,523.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.