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Finding the Third Proportional to 10,243 and 22,339

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Solution

The third proportional to 10,243 and 22,339 is: 48,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243 : 22,339 = 22,339 : x
  2. Step 2: Convert to fraction form
    10,243/22,339 = 22,339/x
  3. Step 3: Cross multiply
    10,243x = 22,339 × 22,339
  4. Step 4: Simplify right side
    10,243x = 499,030,921
  5. Step 5: Solve for x
    x = 499,030,921/10,243
  6. Step 6: Final answer
    x = 48,719.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.