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Finding the Third Proportional to 15,758.93 and 23,826.34

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Solution

The third proportional to 15,758.93 and 23,826.34 is: 36,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.93 : 23,826.34 = 23,826.34 : x
  2. Step 2: Convert to fraction form
    15,758.93/23,826.34 = 23,826.34/x
  3. Step 3: Cross multiply
    15,758.93x = 23,826.34 × 23,826.34
  4. Step 4: Simplify right side
    15,758.93x = 567,694,470.35
  5. Step 5: Solve for x
    x = 567,694,470.35/15,758.93
  6. Step 6: Final answer
    x = 36,023.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.