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Finding the Third Proportional to 2,978 and 6,545

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Solution

The third proportional to 2,978 and 6,545 is: 14,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 6,545 = 6,545 : x
  2. Step 2: Convert to fraction form
    2,978/6,545 = 6,545/x
  3. Step 3: Cross multiply
    2,978x = 6,545 × 6,545
  4. Step 4: Simplify right side
    2,978x = 42,837,025
  5. Step 5: Solve for x
    x = 42,837,025/2,978
  6. Step 6: Final answer
    x = 14,384.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.