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Finding the Third Proportional to 10,910 and 24,237

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Solution

The third proportional to 10,910 and 24,237 is: 53,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910 : 24,237 = 24,237 : x
  2. Step 2: Convert to fraction form
    10,910/24,237 = 24,237/x
  3. Step 3: Cross multiply
    10,910x = 24,237 × 24,237
  4. Step 4: Simplify right side
    10,910x = 587,432,169
  5. Step 5: Solve for x
    x = 587,432,169/10,910
  6. Step 6: Final answer
    x = 53,843.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.