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Finding the Third Proportional to 10,219 and 22,445

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Solution

The third proportional to 10,219 and 22,445 is: 49,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219 : 22,445 = 22,445 : x
  2. Step 2: Convert to fraction form
    10,219/22,445 = 22,445/x
  3. Step 3: Cross multiply
    10,219x = 22,445 × 22,445
  4. Step 4: Simplify right side
    10,219x = 503,778,025
  5. Step 5: Solve for x
    x = 503,778,025/10,219
  6. Step 6: Final answer
    x = 49,298.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.