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Finding the Third Proportional to 52,891.50 and 81,015

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Solution

The third proportional to 52,891.50 and 81,015 is: 124,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,891.50 : 81,015 = 81,015 : x
  2. Step 2: Convert to fraction form
    52,891.50/81,015 = 81,015/x
  3. Step 3: Cross multiply
    52,891.50x = 81,015 × 81,015
  4. Step 4: Simplify right side
    52,891.50x = 6,563,430,225
  5. Step 5: Solve for x
    x = 6,563,430,225/52,891.50
  6. Step 6: Final answer
    x = 124,092.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.