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Finding the Third Proportional to 3,715.88 and 5,975.02

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Solution

The third proportional to 3,715.88 and 5,975.02 is: 9,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.88 : 5,975.02 = 5,975.02 : x
  2. Step 2: Convert to fraction form
    3,715.88/5,975.02 = 5,975.02/x
  3. Step 3: Cross multiply
    3,715.88x = 5,975.02 × 5,975.02
  4. Step 4: Simplify right side
    3,715.88x = 35,700,811.72
  5. Step 5: Solve for x
    x = 35,700,811.72/3,715.88
  6. Step 6: Final answer
    x = 9,607.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.