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Finding the Third Proportional to 11,457 and 24,360.75

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Solution

The third proportional to 11,457 and 24,360.75 is: 51,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457 : 24,360.75 = 24,360.75 : x
  2. Step 2: Convert to fraction form
    11,457/24,360.75 = 24,360.75/x
  3. Step 3: Cross multiply
    11,457x = 24,360.75 × 24,360.75
  4. Step 4: Simplify right side
    11,457x = 593,446,140.56
  5. Step 5: Solve for x
    x = 593,446,140.56/11,457
  6. Step 6: Final answer
    x = 51,797.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.