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Finding the Third Proportional to 7,998.94 and 11,026.38

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Solution

The third proportional to 7,998.94 and 11,026.38 is: 15,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.94 : 11,026.38 = 11,026.38 : x
  2. Step 2: Convert to fraction form
    7,998.94/11,026.38 = 11,026.38/x
  3. Step 3: Cross multiply
    7,998.94x = 11,026.38 × 11,026.38
  4. Step 4: Simplify right side
    7,998.94x = 121,580,945.64
  5. Step 5: Solve for x
    x = 121,580,945.64/7,998.94
  6. Step 6: Final answer
    x = 15,199.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.