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Finding the Third Proportional to 4,380.75 and 6,973.75

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Solution

The third proportional to 4,380.75 and 6,973.75 is: 11,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380.75 : 6,973.75 = 6,973.75 : x
  2. Step 2: Convert to fraction form
    4,380.75/6,973.75 = 6,973.75/x
  3. Step 3: Cross multiply
    4,380.75x = 6,973.75 × 6,973.75
  4. Step 4: Simplify right side
    4,380.75x = 48,633,189.06
  5. Step 5: Solve for x
    x = 48,633,189.06/4,380.75
  6. Step 6: Final answer
    x = 11,101.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.