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Finding the Third Proportional to 4,798 and 11,216.50

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Solution

The third proportional to 4,798 and 11,216.50 is: 26,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798 : 11,216.50 = 11,216.50 : x
  2. Step 2: Convert to fraction form
    4,798/11,216.50 = 11,216.50/x
  3. Step 3: Cross multiply
    4,798x = 11,216.50 × 11,216.50
  4. Step 4: Simplify right side
    4,798x = 125,809,872.25
  5. Step 5: Solve for x
    x = 125,809,872.25/4,798
  6. Step 6: Final answer
    x = 26,221.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.