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Finding the Third Proportional to 24,912.50 and 37,395

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Solution

The third proportional to 24,912.50 and 37,395 is: 56,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912.50 : 37,395 = 37,395 : x
  2. Step 2: Convert to fraction form
    24,912.50/37,395 = 37,395/x
  3. Step 3: Cross multiply
    24,912.50x = 37,395 × 37,395
  4. Step 4: Simplify right side
    24,912.50x = 1,398,386,025
  5. Step 5: Solve for x
    x = 1,398,386,025/24,912.50
  6. Step 6: Final answer
    x = 56,131.90

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Why These Related Problems?

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