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Finding the Third Proportional to 6,840 and 14,260.50

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Solution

The third proportional to 6,840 and 14,260.50 is: 29,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 14,260.50 = 14,260.50 : x
  2. Step 2: Convert to fraction form
    6,840/14,260.50 = 14,260.50/x
  3. Step 3: Cross multiply
    6,840x = 14,260.50 × 14,260.50
  4. Step 4: Simplify right side
    6,840x = 203,361,860.25
  5. Step 5: Solve for x
    x = 203,361,860.25/6,840
  6. Step 6: Final answer
    x = 29,731.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.