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Finding the Third Proportional to 10,289 and 22,219

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Solution

The third proportional to 10,289 and 22,219 is: 47,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 22,219 = 22,219 : x
  2. Step 2: Convert to fraction form
    10,289/22,219 = 22,219/x
  3. Step 3: Cross multiply
    10,289x = 22,219 × 22,219
  4. Step 4: Simplify right side
    10,289x = 493,683,961
  5. Step 5: Solve for x
    x = 493,683,961/10,289
  6. Step 6: Final answer
    x = 47,981.72

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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.