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Finding the Third Proportional to 19,249 and 40,010

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Solution

The third proportional to 19,249 and 40,010 is: 83,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,249 : 40,010 = 40,010 : x
  2. Step 2: Convert to fraction form
    19,249/40,010 = 40,010/x
  3. Step 3: Cross multiply
    19,249x = 40,010 × 40,010
  4. Step 4: Simplify right side
    19,249x = 1,600,800,100
  5. Step 5: Solve for x
    x = 1,600,800,100/19,249
  6. Step 6: Final answer
    x = 83,162.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.