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Finding the Third Proportional to 24,430 and 36,990

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Solution

The third proportional to 24,430 and 36,990 is: 56,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430 : 36,990 = 36,990 : x
  2. Step 2: Convert to fraction form
    24,430/36,990 = 36,990/x
  3. Step 3: Cross multiply
    24,430x = 36,990 × 36,990
  4. Step 4: Simplify right side
    24,430x = 1,368,260,100
  5. Step 5: Solve for x
    x = 1,368,260,100/24,430
  6. Step 6: Final answer
    x = 56,007.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.