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Finding the Third Proportional to 9,072 and 13,319.44

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Solution

The third proportional to 9,072 and 13,319.44 is: 19,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072 : 13,319.44 = 13,319.44 : x
  2. Step 2: Convert to fraction form
    9,072/13,319.44 = 13,319.44/x
  3. Step 3: Cross multiply
    9,072x = 13,319.44 × 13,319.44
  4. Step 4: Simplify right side
    9,072x = 177,407,415.32
  5. Step 5: Solve for x
    x = 177,407,415.32/9,072
  6. Step 6: Final answer
    x = 19,555.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.