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Finding the Third Proportional to 25,541 and 38,852

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Solution

The third proportional to 25,541 and 38,852 is: 59,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,541 : 38,852 = 38,852 : x
  2. Step 2: Convert to fraction form
    25,541/38,852 = 38,852/x
  3. Step 3: Cross multiply
    25,541x = 38,852 × 38,852
  4. Step 4: Simplify right side
    25,541x = 1,509,477,904
  5. Step 5: Solve for x
    x = 1,509,477,904/25,541
  6. Step 6: Final answer
    x = 59,100.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.