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Finding the Third Proportional to 3,416 and 4,780

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Solution

The third proportional to 3,416 and 4,780 is: 6,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416 : 4,780 = 4,780 : x
  2. Step 2: Convert to fraction form
    3,416/4,780 = 4,780/x
  3. Step 3: Cross multiply
    3,416x = 4,780 × 4,780
  4. Step 4: Simplify right side
    3,416x = 22,848,400
  5. Step 5: Solve for x
    x = 22,848,400/3,416
  6. Step 6: Final answer
    x = 6,688.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.