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Finding the Third Proportional to 4,986.35 and 7,381.02

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Solution

The third proportional to 4,986.35 and 7,381.02 is: 10,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.35 : 7,381.02 = 7,381.02 : x
  2. Step 2: Convert to fraction form
    4,986.35/7,381.02 = 7,381.02/x
  3. Step 3: Cross multiply
    4,986.35x = 7,381.02 × 7,381.02
  4. Step 4: Simplify right side
    4,986.35x = 54,479,449.32
  5. Step 5: Solve for x
    x = 54,479,449.32/4,986.35
  6. Step 6: Final answer
    x = 10,925.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.