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Finding the Third Proportional to 17,235 and 25,852.50

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Solution

The third proportional to 17,235 and 25,852.50 is: 38,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235 : 25,852.50 = 25,852.50 : x
  2. Step 2: Convert to fraction form
    17,235/25,852.50 = 25,852.50/x
  3. Step 3: Cross multiply
    17,235x = 25,852.50 × 25,852.50
  4. Step 4: Simplify right side
    17,235x = 668,351,756.25
  5. Step 5: Solve for x
    x = 668,351,756.25/17,235
  6. Step 6: Final answer
    x = 38,778.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.