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Finding the Third Proportional to 10,393.78 and 16,000.78

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Solution

The third proportional to 10,393.78 and 16,000.78 is: 24,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.78 : 16,000.78 = 16,000.78 : x
  2. Step 2: Convert to fraction form
    10,393.78/16,000.78 = 16,000.78/x
  3. Step 3: Cross multiply
    10,393.78x = 16,000.78 × 16,000.78
  4. Step 4: Simplify right side
    10,393.78x = 256,025,000.61
  5. Step 5: Solve for x
    x = 256,025,000.61/10,393.78
  6. Step 6: Final answer
    x = 24,632.52

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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.