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Finding the Third Proportional to 10,998.75 and 17,708.75

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Solution

The third proportional to 10,998.75 and 17,708.75 is: 28,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.75 : 17,708.75 = 17,708.75 : x
  2. Step 2: Convert to fraction form
    10,998.75/17,708.75 = 17,708.75/x
  3. Step 3: Cross multiply
    10,998.75x = 17,708.75 × 17,708.75
  4. Step 4: Simplify right side
    10,998.75x = 313,599,826.56
  5. Step 5: Solve for x
    x = 313,599,826.56/10,998.75
  6. Step 6: Final answer
    x = 28,512.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.