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Finding the Third Proportional to 25,014 and 52,842

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Solution

The third proportional to 25,014 and 52,842 is: 111,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,014 : 52,842 = 52,842 : x
  2. Step 2: Convert to fraction form
    25,014/52,842 = 52,842/x
  3. Step 3: Cross multiply
    25,014x = 52,842 × 52,842
  4. Step 4: Simplify right side
    25,014x = 2,792,276,964
  5. Step 5: Solve for x
    x = 2,792,276,964/25,014
  6. Step 6: Final answer
    x = 111,628.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.