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Finding the Third Proportional to 6,895.13 and 9,269.44

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Solution

The third proportional to 6,895.13 and 9,269.44 is: 12,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.13 : 9,269.44 = 9,269.44 : x
  2. Step 2: Convert to fraction form
    6,895.13/9,269.44 = 9,269.44/x
  3. Step 3: Cross multiply
    6,895.13x = 9,269.44 × 9,269.44
  4. Step 4: Simplify right side
    6,895.13x = 85,922,471.57
  5. Step 5: Solve for x
    x = 85,922,471.57/6,895.13
  6. Step 6: Final answer
    x = 12,461.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.