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Finding the Third Proportional to 5,548 and 7,707.50

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Solution

The third proportional to 5,548 and 7,707.50 is: 10,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548 : 7,707.50 = 7,707.50 : x
  2. Step 2: Convert to fraction form
    5,548/7,707.50 = 7,707.50/x
  3. Step 3: Cross multiply
    5,548x = 7,707.50 × 7,707.50
  4. Step 4: Simplify right side
    5,548x = 59,405,556.25
  5. Step 5: Solve for x
    x = 59,405,556.25/5,548
  6. Step 6: Final answer
    x = 10,707.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.