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Finding the Third Proportional to 10,079.44 and 16,013.02

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Solution

The third proportional to 10,079.44 and 16,013.02 is: 25,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.44 : 16,013.02 = 16,013.02 : x
  2. Step 2: Convert to fraction form
    10,079.44/16,013.02 = 16,013.02/x
  3. Step 3: Cross multiply
    10,079.44x = 16,013.02 × 16,013.02
  4. Step 4: Simplify right side
    10,079.44x = 256,416,669.41
  5. Step 5: Solve for x
    x = 256,416,669.41/10,079.44
  6. Step 6: Final answer
    x = 25,439.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.