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Finding the Third Proportional to 9,125 and 13,738.50

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Solution

The third proportional to 9,125 and 13,738.50 is: 20,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125 : 13,738.50 = 13,738.50 : x
  2. Step 2: Convert to fraction form
    9,125/13,738.50 = 13,738.50/x
  3. Step 3: Cross multiply
    9,125x = 13,738.50 × 13,738.50
  4. Step 4: Simplify right side
    9,125x = 188,746,382.25
  5. Step 5: Solve for x
    x = 188,746,382.25/9,125
  6. Step 6: Final answer
    x = 20,684.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.