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Finding the Third Proportional to 1,317 and 3,048.94

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Solution

The third proportional to 1,317 and 3,048.94 is: 7,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317 : 3,048.94 = 3,048.94 : x
  2. Step 2: Convert to fraction form
    1,317/3,048.94 = 3,048.94/x
  3. Step 3: Cross multiply
    1,317x = 3,048.94 × 3,048.94
  4. Step 4: Simplify right side
    1,317x = 9,296,019.88
  5. Step 5: Solve for x
    x = 9,296,019.88/1,317
  6. Step 6: Final answer
    x = 7,058.48

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.