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Finding the Third Proportional to 25,542 and 52,852

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Solution

The third proportional to 25,542 and 52,852 is: 109,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542 : 52,852 = 52,852 : x
  2. Step 2: Convert to fraction form
    25,542/52,852 = 52,852/x
  3. Step 3: Cross multiply
    25,542x = 52,852 × 52,852
  4. Step 4: Simplify right side
    25,542x = 2,793,333,904
  5. Step 5: Solve for x
    x = 2,793,333,904/25,542
  6. Step 6: Final answer
    x = 109,362.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.