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Finding the Third Proportional to 4,178 and 7,729

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Solution

The third proportional to 4,178 and 7,729 is: 14,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178 : 7,729 = 7,729 : x
  2. Step 2: Convert to fraction form
    4,178/7,729 = 7,729/x
  3. Step 3: Cross multiply
    4,178x = 7,729 × 7,729
  4. Step 4: Simplify right side
    4,178x = 59,737,441
  5. Step 5: Solve for x
    x = 59,737,441/4,178
  6. Step 6: Final answer
    x = 14,298.10

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.