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Finding the Third Proportional to 35,644.50 and 49,834.13

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Solution

The third proportional to 35,644.50 and 49,834.13 is: 69,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644.50 : 49,834.13 = 49,834.13 : x
  2. Step 2: Convert to fraction form
    35,644.50/49,834.13 = 49,834.13/x
  3. Step 3: Cross multiply
    35,644.50x = 49,834.13 × 49,834.13
  4. Step 4: Simplify right side
    35,644.50x = 2,483,440,014.52
  5. Step 5: Solve for x
    x = 2,483,440,014.52/35,644.50
  6. Step 6: Final answer
    x = 69,672.46

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.