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Finding the Third Proportional to 7,357.08 and 11,256.47

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Solution

The third proportional to 7,357.08 and 11,256.47 is: 17,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.08 : 11,256.47 = 11,256.47 : x
  2. Step 2: Convert to fraction form
    7,357.08/11,256.47 = 11,256.47/x
  3. Step 3: Cross multiply
    7,357.08x = 11,256.47 × 11,256.47
  4. Step 4: Simplify right side
    7,357.08x = 126,708,088.72
  5. Step 5: Solve for x
    x = 126,708,088.72/7,357.08
  6. Step 6: Final answer
    x = 17,222.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.