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Finding the Third Proportional to 9,724 and 12,914

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Solution

The third proportional to 9,724 and 12,914 is: 17,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 12,914 = 12,914 : x
  2. Step 2: Convert to fraction form
    9,724/12,914 = 12,914/x
  3. Step 3: Cross multiply
    9,724x = 12,914 × 12,914
  4. Step 4: Simplify right side
    9,724x = 166,771,396
  5. Step 5: Solve for x
    x = 166,771,396/9,724
  6. Step 6: Final answer
    x = 17,150.49

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.