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Finding the Third Proportional to 43,788 and 69,714

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Solution

The third proportional to 43,788 and 69,714 is: 110,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,788 : 69,714 = 69,714 : x
  2. Step 2: Convert to fraction form
    43,788/69,714 = 69,714/x
  3. Step 3: Cross multiply
    43,788x = 69,714 × 69,714
  4. Step 4: Simplify right side
    43,788x = 4,860,041,796
  5. Step 5: Solve for x
    x = 4,860,041,796/43,788
  6. Step 6: Final answer
    x = 110,990.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.