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Finding the Third Proportional to 10,238 and 15,020

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Solution

The third proportional to 10,238 and 15,020 is: 22,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238 : 15,020 = 15,020 : x
  2. Step 2: Convert to fraction form
    10,238/15,020 = 15,020/x
  3. Step 3: Cross multiply
    10,238x = 15,020 × 15,020
  4. Step 4: Simplify right side
    10,238x = 225,600,400
  5. Step 5: Solve for x
    x = 225,600,400/10,238
  6. Step 6: Final answer
    x = 22,035.59

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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.