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Finding the Third Proportional to 12,948 and 16,914

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Solution

The third proportional to 12,948 and 16,914 is: 22,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948 : 16,914 = 16,914 : x
  2. Step 2: Convert to fraction form
    12,948/16,914 = 16,914/x
  3. Step 3: Cross multiply
    12,948x = 16,914 × 16,914
  4. Step 4: Simplify right side
    12,948x = 286,083,396
  5. Step 5: Solve for x
    x = 286,083,396/12,948
  6. Step 6: Final answer
    x = 22,094.79

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.