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Finding the Third Proportional to 10,584 and 23,327.75

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Solution

The third proportional to 10,584 and 23,327.75 is: 51,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 23,327.75 = 23,327.75 : x
  2. Step 2: Convert to fraction form
    10,584/23,327.75 = 23,327.75/x
  3. Step 3: Cross multiply
    10,584x = 23,327.75 × 23,327.75
  4. Step 4: Simplify right side
    10,584x = 544,183,920.06
  5. Step 5: Solve for x
    x = 544,183,920.06/10,584
  6. Step 6: Final answer
    x = 51,415.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.