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Finding the Third Proportional to 18,285.75 and 23,476.50

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Solution

The third proportional to 18,285.75 and 23,476.50 is: 30,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.75 : 23,476.50 = 23,476.50 : x
  2. Step 2: Convert to fraction form
    18,285.75/23,476.50 = 23,476.50/x
  3. Step 3: Cross multiply
    18,285.75x = 23,476.50 × 23,476.50
  4. Step 4: Simplify right side
    18,285.75x = 551,146,052.25
  5. Step 5: Solve for x
    x = 551,146,052.25/18,285.75
  6. Step 6: Final answer
    x = 30,140.74

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.