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Finding the Third Proportional to 5,406.75 and 7,017.75

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Solution

The third proportional to 5,406.75 and 7,017.75 is: 9,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.75 : 7,017.75 = 7,017.75 : x
  2. Step 2: Convert to fraction form
    5,406.75/7,017.75 = 7,017.75/x
  3. Step 3: Cross multiply
    5,406.75x = 7,017.75 × 7,017.75
  4. Step 4: Simplify right side
    5,406.75x = 49,248,815.06
  5. Step 5: Solve for x
    x = 49,248,815.06/5,406.75
  6. Step 6: Final answer
    x = 9,108.76

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.