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Finding the Third Proportional to 4,924.63 and 7,391.98

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Solution

The third proportional to 4,924.63 and 7,391.98 is: 11,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.63 : 7,391.98 = 7,391.98 : x
  2. Step 2: Convert to fraction form
    4,924.63/7,391.98 = 7,391.98/x
  3. Step 3: Cross multiply
    4,924.63x = 7,391.98 × 7,391.98
  4. Step 4: Simplify right side
    4,924.63x = 54,641,433.00
  5. Step 5: Solve for x
    x = 54,641,433.00/4,924.63
  6. Step 6: Final answer
    x = 11,095.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.