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Finding the Third Proportional to 8,476.76 and 16,043.70

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Solution

The third proportional to 8,476.76 and 16,043.70 is: 30,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.76 : 16,043.70 = 16,043.70 : x
  2. Step 2: Convert to fraction form
    8,476.76/16,043.70 = 16,043.70/x
  3. Step 3: Cross multiply
    8,476.76x = 16,043.70 × 16,043.70
  4. Step 4: Simplify right side
    8,476.76x = 257,400,159.28
  5. Step 5: Solve for x
    x = 257,400,159.28/8,476.76
  6. Step 6: Final answer
    x = 30,365.39

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.