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Finding the Third Proportional to 13,194.75 and 26,926.88

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Solution

The third proportional to 13,194.75 and 26,926.88 is: 54,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.75 : 26,926.88 = 26,926.88 : x
  2. Step 2: Convert to fraction form
    13,194.75/26,926.88 = 26,926.88/x
  3. Step 3: Cross multiply
    13,194.75x = 26,926.88 × 26,926.88
  4. Step 4: Simplify right side
    13,194.75x = 725,056,597.27
  5. Step 5: Solve for x
    x = 725,056,597.27/13,194.75
  6. Step 6: Final answer
    x = 54,950.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.