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Finding the Third Proportional to 4,310 and 7,790

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Solution

The third proportional to 4,310 and 7,790 is: 14,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310 : 7,790 = 7,790 : x
  2. Step 2: Convert to fraction form
    4,310/7,790 = 7,790/x
  3. Step 3: Cross multiply
    4,310x = 7,790 × 7,790
  4. Step 4: Simplify right side
    4,310x = 60,684,100
  5. Step 5: Solve for x
    x = 60,684,100/4,310
  6. Step 6: Final answer
    x = 14,079.84

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.