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Finding the Third Proportional to 3,460 and 5,178

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Solution

The third proportional to 3,460 and 5,178 is: 7,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460 : 5,178 = 5,178 : x
  2. Step 2: Convert to fraction form
    3,460/5,178 = 5,178/x
  3. Step 3: Cross multiply
    3,460x = 5,178 × 5,178
  4. Step 4: Simplify right side
    3,460x = 26,811,684
  5. Step 5: Solve for x
    x = 26,811,684/3,460
  6. Step 6: Final answer
    x = 7,749.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.