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Finding the Third Proportional to 23,785 and 49,010

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Solution

The third proportional to 23,785 and 49,010 is: 100,987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785 : 49,010 = 49,010 : x
  2. Step 2: Convert to fraction form
    23,785/49,010 = 49,010/x
  3. Step 3: Cross multiply
    23,785x = 49,010 × 49,010
  4. Step 4: Simplify right side
    23,785x = 2,401,980,100
  5. Step 5: Solve for x
    x = 2,401,980,100/23,785
  6. Step 6: Final answer
    x = 100,987.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.