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Finding the Third Proportional to 7,988.63 and 12,096

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Solution

The third proportional to 7,988.63 and 12,096 is: 18,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.63 : 12,096 = 12,096 : x
  2. Step 2: Convert to fraction form
    7,988.63/12,096 = 12,096/x
  3. Step 3: Cross multiply
    7,988.63x = 12,096 × 12,096
  4. Step 4: Simplify right side
    7,988.63x = 146,313,216
  5. Step 5: Solve for x
    x = 146,313,216/7,988.63
  6. Step 6: Final answer
    x = 18,315.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.