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Finding the Third Proportional to 15,456 and 34,044

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Solution

The third proportional to 15,456 and 34,044 is: 74,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456 : 34,044 = 34,044 : x
  2. Step 2: Convert to fraction form
    15,456/34,044 = 34,044/x
  3. Step 3: Cross multiply
    15,456x = 34,044 × 34,044
  4. Step 4: Simplify right side
    15,456x = 1,158,993,936
  5. Step 5: Solve for x
    x = 1,158,993,936/15,456
  6. Step 6: Final answer
    x = 74,986.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.