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Finding the Third Proportional to 7,692.68 and 15,356.67

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Solution

The third proportional to 7,692.68 and 15,356.67 is: 30,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.68 : 15,356.67 = 15,356.67 : x
  2. Step 2: Convert to fraction form
    7,692.68/15,356.67 = 15,356.67/x
  3. Step 3: Cross multiply
    7,692.68x = 15,356.67 × 15,356.67
  4. Step 4: Simplify right side
    7,692.68x = 235,827,371.08
  5. Step 5: Solve for x
    x = 235,827,371.08/7,692.68
  6. Step 6: Final answer
    x = 30,656.08

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.