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Finding the Third Proportional to 6,834.09 and 11,159.44

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Solution

The third proportional to 6,834.09 and 11,159.44 is: 18,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.09 : 11,159.44 = 11,159.44 : x
  2. Step 2: Convert to fraction form
    6,834.09/11,159.44 = 11,159.44/x
  3. Step 3: Cross multiply
    6,834.09x = 11,159.44 × 11,159.44
  4. Step 4: Simplify right side
    6,834.09x = 124,533,045.32
  5. Step 5: Solve for x
    x = 124,533,045.32/6,834.09
  6. Step 6: Final answer
    x = 18,222.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.