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Finding the Third Proportional to 23,980 and 35,886

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Solution

The third proportional to 23,980 and 35,886 is: 53,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,980 : 35,886 = 35,886 : x
  2. Step 2: Convert to fraction form
    23,980/35,886 = 35,886/x
  3. Step 3: Cross multiply
    23,980x = 35,886 × 35,886
  4. Step 4: Simplify right side
    23,980x = 1,287,804,996
  5. Step 5: Solve for x
    x = 1,287,804,996/23,980
  6. Step 6: Final answer
    x = 53,703.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.