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Finding the Third Proportional to 3,048 and 5,342

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Solution

The third proportional to 3,048 and 5,342 is: 9,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048 : 5,342 = 5,342 : x
  2. Step 2: Convert to fraction form
    3,048/5,342 = 5,342/x
  3. Step 3: Cross multiply
    3,048x = 5,342 × 5,342
  4. Step 4: Simplify right side
    3,048x = 28,536,964
  5. Step 5: Solve for x
    x = 28,536,964/3,048
  6. Step 6: Final answer
    x = 9,362.52

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.