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Finding the Third Proportional to 7,212.16 and 11,070.74

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Solution

The third proportional to 7,212.16 and 11,070.74 is: 16,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.16 : 11,070.74 = 11,070.74 : x
  2. Step 2: Convert to fraction form
    7,212.16/11,070.74 = 11,070.74/x
  3. Step 3: Cross multiply
    7,212.16x = 11,070.74 × 11,070.74
  4. Step 4: Simplify right side
    7,212.16x = 122,561,246.09
  5. Step 5: Solve for x
    x = 122,561,246.09/7,212.16
  6. Step 6: Final answer
    x = 16,993.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.