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Finding the Third Proportional to 10,348.73 and 16,393.92

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Solution

The third proportional to 10,348.73 and 16,393.92 is: 25,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.73 : 16,393.92 = 16,393.92 : x
  2. Step 2: Convert to fraction form
    10,348.73/16,393.92 = 16,393.92/x
  3. Step 3: Cross multiply
    10,348.73x = 16,393.92 × 16,393.92
  4. Step 4: Simplify right side
    10,348.73x = 268,760,674.44
  5. Step 5: Solve for x
    x = 268,760,674.44/10,348.73
  6. Step 6: Final answer
    x = 25,970.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.