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Finding the Third Proportional to 16,656 and 35,978

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Solution

The third proportional to 16,656 and 35,978 is: 77,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,656 : 35,978 = 35,978 : x
  2. Step 2: Convert to fraction form
    16,656/35,978 = 35,978/x
  3. Step 3: Cross multiply
    16,656x = 35,978 × 35,978
  4. Step 4: Simplify right side
    16,656x = 1,294,416,484
  5. Step 5: Solve for x
    x = 1,294,416,484/16,656
  6. Step 6: Final answer
    x = 77,714.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.