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Finding the Third Proportional to 9,612 and 13,365

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Solution

The third proportional to 9,612 and 13,365 is: 18,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 13,365 = 13,365 : x
  2. Step 2: Convert to fraction form
    9,612/13,365 = 13,365/x
  3. Step 3: Cross multiply
    9,612x = 13,365 × 13,365
  4. Step 4: Simplify right side
    9,612x = 178,623,225
  5. Step 5: Solve for x
    x = 178,623,225/9,612
  6. Step 6: Final answer
    x = 18,583.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.