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Finding the Third Proportional to 7,453.69 and 16,289.44

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Solution

The third proportional to 7,453.69 and 16,289.44 is: 35,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.69 : 16,289.44 = 16,289.44 : x
  2. Step 2: Convert to fraction form
    7,453.69/16,289.44 = 16,289.44/x
  3. Step 3: Cross multiply
    7,453.69x = 16,289.44 × 16,289.44
  4. Step 4: Simplify right side
    7,453.69x = 265,345,774.07
  5. Step 5: Solve for x
    x = 265,345,774.07/7,453.69
  6. Step 6: Final answer
    x = 35,599.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.