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Finding the Third Proportional to 7,536 and 12,072

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Solution

The third proportional to 7,536 and 12,072 is: 19,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536 : 12,072 = 12,072 : x
  2. Step 2: Convert to fraction form
    7,536/12,072 = 12,072/x
  3. Step 3: Cross multiply
    7,536x = 12,072 × 12,072
  4. Step 4: Simplify right side
    7,536x = 145,733,184
  5. Step 5: Solve for x
    x = 145,733,184/7,536
  6. Step 6: Final answer
    x = 19,338.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.