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Finding the Third Proportional to 23,692.50 and 50,959.13

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Solution

The third proportional to 23,692.50 and 50,959.13 is: 109,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.50 : 50,959.13 = 50,959.13 : x
  2. Step 2: Convert to fraction form
    23,692.50/50,959.13 = 50,959.13/x
  3. Step 3: Cross multiply
    23,692.50x = 50,959.13 × 50,959.13
  4. Step 4: Simplify right side
    23,692.50x = 2,596,832,420.77
  5. Step 5: Solve for x
    x = 2,596,832,420.77/23,692.50
  6. Step 6: Final answer
    x = 109,605.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.