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Finding the Third Proportional to 24,836 and 37,200

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Solution

The third proportional to 24,836 and 37,200 is: 55,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,836 : 37,200 = 37,200 : x
  2. Step 2: Convert to fraction form
    24,836/37,200 = 37,200/x
  3. Step 3: Cross multiply
    24,836x = 37,200 × 37,200
  4. Step 4: Simplify right side
    24,836x = 1,383,840,000
  5. Step 5: Solve for x
    x = 1,383,840,000/24,836
  6. Step 6: Final answer
    x = 55,719.12

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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.