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Finding the Third Proportional to 23,984.25 and 52,335.75

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Solution

The third proportional to 23,984.25 and 52,335.75 is: 114,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984.25 : 52,335.75 = 52,335.75 : x
  2. Step 2: Convert to fraction form
    23,984.25/52,335.75 = 52,335.75/x
  3. Step 3: Cross multiply
    23,984.25x = 52,335.75 × 52,335.75
  4. Step 4: Simplify right side
    23,984.25x = 2,739,030,728.06
  5. Step 5: Solve for x
    x = 2,739,030,728.06/23,984.25
  6. Step 6: Final answer
    x = 114,201.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.