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Finding the Third Proportional to 9,948 and 13,945

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Solution

The third proportional to 9,948 and 13,945 is: 19,547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948 : 13,945 = 13,945 : x
  2. Step 2: Convert to fraction form
    9,948/13,945 = 13,945/x
  3. Step 3: Cross multiply
    9,948x = 13,945 × 13,945
  4. Step 4: Simplify right side
    9,948x = 194,463,025
  5. Step 5: Solve for x
    x = 194,463,025/9,948
  6. Step 6: Final answer
    x = 19,547.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.