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Finding the Third Proportional to 24,628 and 52,760

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Solution

The third proportional to 24,628 and 52,760 is: 113,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,628 : 52,760 = 52,760 : x
  2. Step 2: Convert to fraction form
    24,628/52,760 = 52,760/x
  3. Step 3: Cross multiply
    24,628x = 52,760 × 52,760
  4. Step 4: Simplify right side
    24,628x = 2,783,617,600
  5. Step 5: Solve for x
    x = 2,783,617,600/24,628
  6. Step 6: Final answer
    x = 113,026.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.