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Finding the Third Proportional to 6,275 and 13,765

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Solution

The third proportional to 6,275 and 13,765 is: 30,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275 : 13,765 = 13,765 : x
  2. Step 2: Convert to fraction form
    6,275/13,765 = 13,765/x
  3. Step 3: Cross multiply
    6,275x = 13,765 × 13,765
  4. Step 4: Simplify right side
    6,275x = 189,475,225
  5. Step 5: Solve for x
    x = 189,475,225/6,275
  6. Step 6: Final answer
    x = 30,195.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.