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Finding the Third Proportional to 15,488 and 34,104

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Solution

The third proportional to 15,488 and 34,104 is: 75,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,488 : 34,104 = 34,104 : x
  2. Step 2: Convert to fraction form
    15,488/34,104 = 34,104/x
  3. Step 3: Cross multiply
    15,488x = 34,104 × 34,104
  4. Step 4: Simplify right side
    15,488x = 1,163,082,816
  5. Step 5: Solve for x
    x = 1,163,082,816/15,488
  6. Step 6: Final answer
    x = 75,095.74

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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.