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Finding the Third Proportional to 23,133.50 and 48,683

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Solution

The third proportional to 23,133.50 and 48,683 is: 102,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.50 : 48,683 = 48,683 : x
  2. Step 2: Convert to fraction form
    23,133.50/48,683 = 48,683/x
  3. Step 3: Cross multiply
    23,133.50x = 48,683 × 48,683
  4. Step 4: Simplify right side
    23,133.50x = 2,370,034,489
  5. Step 5: Solve for x
    x = 2,370,034,489/23,133.50
  6. Step 6: Final answer
    x = 102,450.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.