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Finding the Third Proportional to 21,238 and 45,007

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Solution

The third proportional to 21,238 and 45,007 is: 95,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238 : 45,007 = 45,007 : x
  2. Step 2: Convert to fraction form
    21,238/45,007 = 45,007/x
  3. Step 3: Cross multiply
    21,238x = 45,007 × 45,007
  4. Step 4: Simplify right side
    21,238x = 2,025,630,049
  5. Step 5: Solve for x
    x = 2,025,630,049/21,238
  6. Step 6: Final answer
    x = 95,377.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.