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Finding the Third Proportional to 25,190 and 35,217

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Solution

The third proportional to 25,190 and 35,217 is: 49,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,190 : 35,217 = 35,217 : x
  2. Step 2: Convert to fraction form
    25,190/35,217 = 35,217/x
  3. Step 3: Cross multiply
    25,190x = 35,217 × 35,217
  4. Step 4: Simplify right side
    25,190x = 1,240,237,089
  5. Step 5: Solve for x
    x = 1,240,237,089/25,190
  6. Step 6: Final answer
    x = 49,235.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.