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Finding the Third Proportional to 19,161.50 and 25,749.75

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Solution

The third proportional to 19,161.50 and 25,749.75 is: 34,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,161.50 : 25,749.75 = 25,749.75 : x
  2. Step 2: Convert to fraction form
    19,161.50/25,749.75 = 25,749.75/x
  3. Step 3: Cross multiply
    19,161.50x = 25,749.75 × 25,749.75
  4. Step 4: Simplify right side
    19,161.50x = 663,049,625.06
  5. Step 5: Solve for x
    x = 663,049,625.06/19,161.50
  6. Step 6: Final answer
    x = 34,603.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.