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Finding the Third Proportional to 3,835 and 5,864

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Solution

The third proportional to 3,835 and 5,864 is: 8,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835 : 5,864 = 5,864 : x
  2. Step 2: Convert to fraction form
    3,835/5,864 = 5,864/x
  3. Step 3: Cross multiply
    3,835x = 5,864 × 5,864
  4. Step 4: Simplify right side
    3,835x = 34,386,496
  5. Step 5: Solve for x
    x = 34,386,496/3,835
  6. Step 6: Final answer
    x = 8,966.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.