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Finding the Third Proportional to 6,837 and 14,290.50

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Solution

The third proportional to 6,837 and 14,290.50 is: 29,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837 : 14,290.50 = 14,290.50 : x
  2. Step 2: Convert to fraction form
    6,837/14,290.50 = 14,290.50/x
  3. Step 3: Cross multiply
    6,837x = 14,290.50 × 14,290.50
  4. Step 4: Simplify right side
    6,837x = 204,218,390.25
  5. Step 5: Solve for x
    x = 204,218,390.25/6,837
  6. Step 6: Final answer
    x = 29,869.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.