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Finding the Third Proportional to 19,176 and 25,890

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Solution

The third proportional to 19,176 and 25,890 is: 34,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176 : 25,890 = 25,890 : x
  2. Step 2: Convert to fraction form
    19,176/25,890 = 25,890/x
  3. Step 3: Cross multiply
    19,176x = 25,890 × 25,890
  4. Step 4: Simplify right side
    19,176x = 670,292,100
  5. Step 5: Solve for x
    x = 670,292,100/19,176
  6. Step 6: Final answer
    x = 34,954.74

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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.