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Finding the Third Proportional to 25,112 and 52,813

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Solution

The third proportional to 25,112 and 52,813 is: 111,070.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,112 : 52,813 = 52,813 : x
  2. Step 2: Convert to fraction form
    25,112/52,813 = 52,813/x
  3. Step 3: Cross multiply
    25,112x = 52,813 × 52,813
  4. Step 4: Simplify right side
    25,112x = 2,789,212,969
  5. Step 5: Solve for x
    x = 2,789,212,969/25,112
  6. Step 6: Final answer
    x = 111,070.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.