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Finding the Third Proportional to 27,590 and 37,261

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Solution

The third proportional to 27,590 and 37,261 is: 50,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,590 : 37,261 = 37,261 : x
  2. Step 2: Convert to fraction form
    27,590/37,261 = 37,261/x
  3. Step 3: Cross multiply
    27,590x = 37,261 × 37,261
  4. Step 4: Simplify right side
    27,590x = 1,388,382,121
  5. Step 5: Solve for x
    x = 1,388,382,121/27,590
  6. Step 6: Final answer
    x = 50,321.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.