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Finding the Third Proportional to 5,111.44 and 7,703.44

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Solution

The third proportional to 5,111.44 and 7,703.44 is: 11,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.44 : 7,703.44 = 7,703.44 : x
  2. Step 2: Convert to fraction form
    5,111.44/7,703.44 = 7,703.44/x
  3. Step 3: Cross multiply
    5,111.44x = 7,703.44 × 7,703.44
  4. Step 4: Simplify right side
    5,111.44x = 59,342,949.32
  5. Step 5: Solve for x
    x = 59,342,949.32/5,111.44
  6. Step 6: Final answer
    x = 11,609.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.