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Finding the Third Proportional to 24,128 and 31,800

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Solution

The third proportional to 24,128 and 31,800 is: 41,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,128 : 31,800 = 31,800 : x
  2. Step 2: Convert to fraction form
    24,128/31,800 = 31,800/x
  3. Step 3: Cross multiply
    24,128x = 31,800 × 31,800
  4. Step 4: Simplify right side
    24,128x = 1,011,240,000
  5. Step 5: Solve for x
    x = 1,011,240,000/24,128
  6. Step 6: Final answer
    x = 41,911.47

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.