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Finding the Third Proportional to 10,307 and 22,243

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Solution

The third proportional to 10,307 and 22,243 is: 48,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307 : 22,243 = 22,243 : x
  2. Step 2: Convert to fraction form
    10,307/22,243 = 22,243/x
  3. Step 3: Cross multiply
    10,307x = 22,243 × 22,243
  4. Step 4: Simplify right side
    10,307x = 494,751,049
  5. Step 5: Solve for x
    x = 494,751,049/10,307
  6. Step 6: Final answer
    x = 48,001.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.