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Finding the Third Proportional to 19,240 and 40,007

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Solution

The third proportional to 19,240 and 40,007 is: 83,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,240 : 40,007 = 40,007 : x
  2. Step 2: Convert to fraction form
    19,240/40,007 = 40,007/x
  3. Step 3: Cross multiply
    19,240x = 40,007 × 40,007
  4. Step 4: Simplify right side
    19,240x = 1,600,560,049
  5. Step 5: Solve for x
    x = 1,600,560,049/19,240
  6. Step 6: Final answer
    x = 83,189.19

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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.