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Finding the Third Proportional to 12,079.76 and 16,043.70

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Solution

The third proportional to 12,079.76 and 16,043.70 is: 21,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.76 : 16,043.70 = 16,043.70 : x
  2. Step 2: Convert to fraction form
    12,079.76/16,043.70 = 16,043.70/x
  3. Step 3: Cross multiply
    12,079.76x = 16,043.70 × 16,043.70
  4. Step 4: Simplify right side
    12,079.76x = 257,400,159.28
  5. Step 5: Solve for x
    x = 257,400,159.28/12,079.76
  6. Step 6: Final answer
    x = 21,308.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.