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Finding the Third Proportional to 10,231 and 15,007

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Solution

The third proportional to 10,231 and 15,007 is: 22,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231 : 15,007 = 15,007 : x
  2. Step 2: Convert to fraction form
    10,231/15,007 = 15,007/x
  3. Step 3: Cross multiply
    10,231x = 15,007 × 15,007
  4. Step 4: Simplify right side
    10,231x = 225,210,049
  5. Step 5: Solve for x
    x = 225,210,049/10,231
  6. Step 6: Final answer
    x = 22,012.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.