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Finding the Third Proportional to 13,761 and 30,262.50

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Solution

The third proportional to 13,761 and 30,262.50 is: 66,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761 : 30,262.50 = 30,262.50 : x
  2. Step 2: Convert to fraction form
    13,761/30,262.50 = 30,262.50/x
  3. Step 3: Cross multiply
    13,761x = 30,262.50 × 30,262.50
  4. Step 4: Simplify right side
    13,761x = 915,818,906.25
  5. Step 5: Solve for x
    x = 915,818,906.25/13,761
  6. Step 6: Final answer
    x = 66,551.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.