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Finding the Third Proportional to 51,897 and 73,957.50

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Solution

The third proportional to 51,897 and 73,957.50 is: 105,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,897 : 73,957.50 = 73,957.50 : x
  2. Step 2: Convert to fraction form
    51,897/73,957.50 = 73,957.50/x
  3. Step 3: Cross multiply
    51,897x = 73,957.50 × 73,957.50
  4. Step 4: Simplify right side
    51,897x = 5,469,711,806.25
  5. Step 5: Solve for x
    x = 5,469,711,806.25/51,897
  6. Step 6: Final answer
    x = 105,395.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.