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Finding the Third Proportional to 35,737.75 and 52,412.75

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Solution

The third proportional to 35,737.75 and 52,412.75 is: 76,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.75 : 52,412.75 = 52,412.75 : x
  2. Step 2: Convert to fraction form
    35,737.75/52,412.75 = 52,412.75/x
  3. Step 3: Cross multiply
    35,737.75x = 52,412.75 × 52,412.75
  4. Step 4: Simplify right side
    35,737.75x = 2,747,096,362.56
  5. Step 5: Solve for x
    x = 2,747,096,362.56/35,737.75
  6. Step 6: Final answer
    x = 76,868.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.