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Finding the Third Proportional to 6,521 and 13,978

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Solution

The third proportional to 6,521 and 13,978 is: 29,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521 : 13,978 = 13,978 : x
  2. Step 2: Convert to fraction form
    6,521/13,978 = 13,978/x
  3. Step 3: Cross multiply
    6,521x = 13,978 × 13,978
  4. Step 4: Simplify right side
    6,521x = 195,384,484
  5. Step 5: Solve for x
    x = 195,384,484/6,521
  6. Step 6: Final answer
    x = 29,962.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.