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Finding the Third Proportional to 19,240 and 42,007

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Solution

The third proportional to 19,240 and 42,007 is: 91,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,240 : 42,007 = 42,007 : x
  2. Step 2: Convert to fraction form
    19,240/42,007 = 42,007/x
  3. Step 3: Cross multiply
    19,240x = 42,007 × 42,007
  4. Step 4: Simplify right side
    19,240x = 1,764,588,049
  5. Step 5: Solve for x
    x = 1,764,588,049/19,240
  6. Step 6: Final answer
    x = 91,714.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.