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Finding the Third Proportional to 3,429 and 4,900

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Solution

The third proportional to 3,429 and 4,900 is: 7,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429 : 4,900 = 4,900 : x
  2. Step 2: Convert to fraction form
    3,429/4,900 = 4,900/x
  3. Step 3: Cross multiply
    3,429x = 4,900 × 4,900
  4. Step 4: Simplify right side
    3,429x = 24,010,000
  5. Step 5: Solve for x
    x = 24,010,000/3,429
  6. Step 6: Final answer
    x = 7,002.04

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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.