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Finding the Third Proportional to 22,897.50 and 34,157.25

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Solution

The third proportional to 22,897.50 and 34,157.25 is: 50,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.50 : 34,157.25 = 34,157.25 : x
  2. Step 2: Convert to fraction form
    22,897.50/34,157.25 = 34,157.25/x
  3. Step 3: Cross multiply
    22,897.50x = 34,157.25 × 34,157.25
  4. Step 4: Simplify right side
    22,897.50x = 1,166,717,727.56
  5. Step 5: Solve for x
    x = 1,166,717,727.56/22,897.50
  6. Step 6: Final answer
    x = 50,953.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.