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Finding the Third Proportional to 24,038 and 51,628

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Solution

The third proportional to 24,038 and 51,628 is: 110,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,038 : 51,628 = 51,628 : x
  2. Step 2: Convert to fraction form
    24,038/51,628 = 51,628/x
  3. Step 3: Cross multiply
    24,038x = 51,628 × 51,628
  4. Step 4: Simplify right side
    24,038x = 2,665,450,384
  5. Step 5: Solve for x
    x = 2,665,450,384/24,038
  6. Step 6: Final answer
    x = 110,884.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.