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Finding the Third Proportional to 25,890 and 35,370

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Solution

The third proportional to 25,890 and 35,370 is: 48,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,890 : 35,370 = 35,370 : x
  2. Step 2: Convert to fraction form
    25,890/35,370 = 35,370/x
  3. Step 3: Cross multiply
    25,890x = 35,370 × 35,370
  4. Step 4: Simplify right side
    25,890x = 1,251,036,900
  5. Step 5: Solve for x
    x = 1,251,036,900/25,890
  6. Step 6: Final answer
    x = 48,321.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.