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Finding the Third Proportional to 24,914 and 37,015

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Solution

The third proportional to 24,914 and 37,015 is: 54,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914 : 37,015 = 37,015 : x
  2. Step 2: Convert to fraction form
    24,914/37,015 = 37,015/x
  3. Step 3: Cross multiply
    24,914x = 37,015 × 37,015
  4. Step 4: Simplify right side
    24,914x = 1,370,110,225
  5. Step 5: Solve for x
    x = 1,370,110,225/24,914
  6. Step 6: Final answer
    x = 54,993.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.