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Finding the Third Proportional to 25,903 and 39,361

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Solution

The third proportional to 25,903 and 39,361 is: 59,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,903 : 39,361 = 39,361 : x
  2. Step 2: Convert to fraction form
    25,903/39,361 = 39,361/x
  3. Step 3: Cross multiply
    25,903x = 39,361 × 39,361
  4. Step 4: Simplify right side
    25,903x = 1,549,288,321
  5. Step 5: Solve for x
    x = 1,549,288,321/25,903
  6. Step 6: Final answer
    x = 59,811.15

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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.