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Finding the Third Proportional to 19,248 and 25,995

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Solution

The third proportional to 19,248 and 25,995 is: 35,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248 : 25,995 = 25,995 : x
  2. Step 2: Convert to fraction form
    19,248/25,995 = 25,995/x
  3. Step 3: Cross multiply
    19,248x = 25,995 × 25,995
  4. Step 4: Simplify right side
    19,248x = 675,740,025
  5. Step 5: Solve for x
    x = 675,740,025/19,248
  6. Step 6: Final answer
    x = 35,107.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.