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Finding the Third Proportional to 8,106.42 and 12,519.28

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Solution

The third proportional to 8,106.42 and 12,519.28 is: 19,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.42 : 12,519.28 = 12,519.28 : x
  2. Step 2: Convert to fraction form
    8,106.42/12,519.28 = 12,519.28/x
  3. Step 3: Cross multiply
    8,106.42x = 12,519.28 × 12,519.28
  4. Step 4: Simplify right side
    8,106.42x = 156,732,403.02
  5. Step 5: Solve for x
    x = 156,732,403.02/8,106.42
  6. Step 6: Final answer
    x = 19,334.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.