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Finding the Third Proportional to 2,186.16 and 3,125.67

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Solution

The third proportional to 2,186.16 and 3,125.67 is: 4,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.16 : 3,125.67 = 3,125.67 : x
  2. Step 2: Convert to fraction form
    2,186.16/3,125.67 = 3,125.67/x
  3. Step 3: Cross multiply
    2,186.16x = 3,125.67 × 3,125.67
  4. Step 4: Simplify right side
    2,186.16x = 9,769,824.67
  5. Step 5: Solve for x
    x = 9,769,824.67/2,186.16
  6. Step 6: Final answer
    x = 4,468.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.