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Finding the Third Proportional to 16,979 and 25,501

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Solution

The third proportional to 16,979 and 25,501 is: 38,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,979 : 25,501 = 25,501 : x
  2. Step 2: Convert to fraction form
    16,979/25,501 = 25,501/x
  3. Step 3: Cross multiply
    16,979x = 25,501 × 25,501
  4. Step 4: Simplify right side
    16,979x = 650,301,001
  5. Step 5: Solve for x
    x = 650,301,001/16,979
  6. Step 6: Final answer
    x = 38,300.31

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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.