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Finding the Third Proportional to 7,692.47 and 10,999.55

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Solution

The third proportional to 7,692.47 and 10,999.55 is: 15,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.47 : 10,999.55 = 10,999.55 : x
  2. Step 2: Convert to fraction form
    7,692.47/10,999.55 = 10,999.55/x
  3. Step 3: Cross multiply
    7,692.47x = 10,999.55 × 10,999.55
  4. Step 4: Simplify right side
    7,692.47x = 120,990,031.46
  5. Step 5: Solve for x
    x = 120,990,031.46/7,692.47
  6. Step 6: Final answer
    x = 15,728.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.