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Finding the Third Proportional to 24,732.75 and 58,325.25

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Solution

The third proportional to 24,732.75 and 58,325.25 is: 137,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732.75 : 58,325.25 = 58,325.25 : x
  2. Step 2: Convert to fraction form
    24,732.75/58,325.25 = 58,325.25/x
  3. Step 3: Cross multiply
    24,732.75x = 58,325.25 × 58,325.25
  4. Step 4: Simplify right side
    24,732.75x = 3,401,834,787.56
  5. Step 5: Solve for x
    x = 3,401,834,787.56/24,732.75
  6. Step 6: Final answer
    x = 137,543.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.