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Finding the Third Proportional to 6,799.50 and 18,303.75

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Solution

The third proportional to 6,799.50 and 18,303.75 is: 49,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.50 : 18,303.75 = 18,303.75 : x
  2. Step 2: Convert to fraction form
    6,799.50/18,303.75 = 18,303.75/x
  3. Step 3: Cross multiply
    6,799.50x = 18,303.75 × 18,303.75
  4. Step 4: Simplify right side
    6,799.50x = 335,027,264.06
  5. Step 5: Solve for x
    x = 335,027,264.06/6,799.50
  6. Step 6: Final answer
    x = 49,272.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.