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Finding the Third Proportional to 24,294 and 31,899

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Solution

The third proportional to 24,294 and 31,899 is: 41,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294 : 31,899 = 31,899 : x
  2. Step 2: Convert to fraction form
    24,294/31,899 = 31,899/x
  3. Step 3: Cross multiply
    24,294x = 31,899 × 31,899
  4. Step 4: Simplify right side
    24,294x = 1,017,546,201
  5. Step 5: Solve for x
    x = 1,017,546,201/24,294
  6. Step 6: Final answer
    x = 41,884.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.