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Finding the Third Proportional to 786.38 and 1,857.94

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Solution

The third proportional to 786.38 and 1,857.94 is: 4,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 1,857.94 = 1,857.94 : x
  2. Step 2: Convert to fraction form
    786.38/1,857.94 = 1,857.94/x
  3. Step 3: Cross multiply
    786.38x = 1,857.94 × 1,857.94
  4. Step 4: Simplify right side
    786.38x = 3,451,931.75
  5. Step 5: Solve for x
    x = 3,451,931.75/786.38
  6. Step 6: Final answer
    x = 4,389.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.