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Finding the Third Proportional to 5,080.22 and 6,742.41

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Solution

The third proportional to 5,080.22 and 6,742.41 is: 8,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080.22 : 6,742.41 = 6,742.41 : x
  2. Step 2: Convert to fraction form
    5,080.22/6,742.41 = 6,742.41/x
  3. Step 3: Cross multiply
    5,080.22x = 6,742.41 × 6,742.41
  4. Step 4: Simplify right side
    5,080.22x = 45,460,042.04
  5. Step 5: Solve for x
    x = 45,460,042.04/5,080.22
  6. Step 6: Final answer
    x = 8,948.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.