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Finding the Third Proportional to 10,842 and 16,265

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Solution

The third proportional to 10,842 and 16,265 is: 24,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842 : 16,265 = 16,265 : x
  2. Step 2: Convert to fraction form
    10,842/16,265 = 16,265/x
  3. Step 3: Cross multiply
    10,842x = 16,265 × 16,265
  4. Step 4: Simplify right side
    10,842x = 264,550,225
  5. Step 5: Solve for x
    x = 264,550,225/10,842
  6. Step 6: Final answer
    x = 24,400.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.