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Finding the Third Proportional to 28,202 and 37,995

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Solution

The third proportional to 28,202 and 37,995 is: 51,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,202 : 37,995 = 37,995 : x
  2. Step 2: Convert to fraction form
    28,202/37,995 = 37,995/x
  3. Step 3: Cross multiply
    28,202x = 37,995 × 37,995
  4. Step 4: Simplify right side
    28,202x = 1,443,620,025
  5. Step 5: Solve for x
    x = 1,443,620,025/28,202
  6. Step 6: Final answer
    x = 51,188.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.