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Finding the Third Proportional to 3,064 and 4,376

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Solution

The third proportional to 3,064 and 4,376 is: 6,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064 : 4,376 = 4,376 : x
  2. Step 2: Convert to fraction form
    3,064/4,376 = 4,376/x
  3. Step 3: Cross multiply
    3,064x = 4,376 × 4,376
  4. Step 4: Simplify right side
    3,064x = 19,149,376
  5. Step 5: Solve for x
    x = 19,149,376/3,064
  6. Step 6: Final answer
    x = 6,249.80

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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.