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Finding the Third Proportional to 28,016 and 59,775

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Solution

The third proportional to 28,016 and 59,775 is: 127,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,016 : 59,775 = 59,775 : x
  2. Step 2: Convert to fraction form
    28,016/59,775 = 59,775/x
  3. Step 3: Cross multiply
    28,016x = 59,775 × 59,775
  4. Step 4: Simplify right side
    28,016x = 3,573,050,625
  5. Step 5: Solve for x
    x = 3,573,050,625/28,016
  6. Step 6: Final answer
    x = 127,536.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.