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Finding the Third Proportional to 34,593.50 and 51,890.50

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Solution

The third proportional to 34,593.50 and 51,890.50 is: 77,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,593.50 : 51,890.50 = 51,890.50 : x
  2. Step 2: Convert to fraction form
    34,593.50/51,890.50 = 51,890.50/x
  3. Step 3: Cross multiply
    34,593.50x = 51,890.50 × 51,890.50
  4. Step 4: Simplify right side
    34,593.50x = 2,692,623,990.25
  5. Step 5: Solve for x
    x = 2,692,623,990.25/34,593.50
  6. Step 6: Final answer
    x = 77,836.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.