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Finding the Third Proportional to 16,964 and 25,948

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Solution

The third proportional to 16,964 and 25,948 is: 39,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964 : 25,948 = 25,948 : x
  2. Step 2: Convert to fraction form
    16,964/25,948 = 25,948/x
  3. Step 3: Cross multiply
    16,964x = 25,948 × 25,948
  4. Step 4: Simplify right side
    16,964x = 673,298,704
  5. Step 5: Solve for x
    x = 673,298,704/16,964
  6. Step 6: Final answer
    x = 39,689.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.