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Finding the Third Proportional to 28,189.25 and 66,782.63

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Solution

The third proportional to 28,189.25 and 66,782.63 is: 158,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,189.25 : 66,782.63 = 66,782.63 : x
  2. Step 2: Convert to fraction form
    28,189.25/66,782.63 = 66,782.63/x
  3. Step 3: Cross multiply
    28,189.25x = 66,782.63 × 66,782.63
  4. Step 4: Simplify right side
    28,189.25x = 4,459,919,001.89
  5. Step 5: Solve for x
    x = 4,459,919,001.89/28,189.25
  6. Step 6: Final answer
    x = 158,213.47

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.