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Finding the Third Proportional to 7,278.75 and 19,596.38

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Solution

The third proportional to 7,278.75 and 19,596.38 is: 52,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.75 : 19,596.38 = 19,596.38 : x
  2. Step 2: Convert to fraction form
    7,278.75/19,596.38 = 19,596.38/x
  3. Step 3: Cross multiply
    7,278.75x = 19,596.38 × 19,596.38
  4. Step 4: Simplify right side
    7,278.75x = 384,017,913.14
  5. Step 5: Solve for x
    x = 384,017,913.14/7,278.75
  6. Step 6: Final answer
    x = 52,758.77

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.