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Finding the Third Proportional to 2,984 and 4,477

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Solution

The third proportional to 2,984 and 4,477 is: 6,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984 : 4,477 = 4,477 : x
  2. Step 2: Convert to fraction form
    2,984/4,477 = 4,477/x
  3. Step 3: Cross multiply
    2,984x = 4,477 × 4,477
  4. Step 4: Simplify right side
    2,984x = 20,043,529
  5. Step 5: Solve for x
    x = 20,043,529/2,984
  6. Step 6: Final answer
    x = 6,717.00

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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.