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Finding the Third Proportional to 23,957.50 and 50,396

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Solution

The third proportional to 23,957.50 and 50,396 is: 106,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.50 : 50,396 = 50,396 : x
  2. Step 2: Convert to fraction form
    23,957.50/50,396 = 50,396/x
  3. Step 3: Cross multiply
    23,957.50x = 50,396 × 50,396
  4. Step 4: Simplify right side
    23,957.50x = 2,539,756,816
  5. Step 5: Solve for x
    x = 2,539,756,816/23,957.50
  6. Step 6: Final answer
    x = 106,010.93

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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.