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Finding the Third Proportional to 23,817.50 and 52,306

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Solution

The third proportional to 23,817.50 and 52,306 is: 114,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.50 : 52,306 = 52,306 : x
  2. Step 2: Convert to fraction form
    23,817.50/52,306 = 52,306/x
  3. Step 3: Cross multiply
    23,817.50x = 52,306 × 52,306
  4. Step 4: Simplify right side
    23,817.50x = 2,735,917,636
  5. Step 5: Solve for x
    x = 2,735,917,636/23,817.50
  6. Step 6: Final answer
    x = 114,870.06

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