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Finding the Third Proportional to 10,968 and 16,042.25

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Solution

The third proportional to 10,968 and 16,042.25 is: 23,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968 : 16,042.25 = 16,042.25 : x
  2. Step 2: Convert to fraction form
    10,968/16,042.25 = 16,042.25/x
  3. Step 3: Cross multiply
    10,968x = 16,042.25 × 16,042.25
  4. Step 4: Simplify right side
    10,968x = 257,353,785.06
  5. Step 5: Solve for x
    x = 257,353,785.06/10,968
  6. Step 6: Final answer
    x = 23,464.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.