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Finding the Third Proportional to 7,996 and 12,518

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Solution

The third proportional to 7,996 and 12,518 is: 19,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996 : 12,518 = 12,518 : x
  2. Step 2: Convert to fraction form
    7,996/12,518 = 12,518/x
  3. Step 3: Cross multiply
    7,996x = 12,518 × 12,518
  4. Step 4: Simplify right side
    7,996x = 156,700,324
  5. Step 5: Solve for x
    x = 156,700,324/7,996
  6. Step 6: Final answer
    x = 19,597.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.