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Finding the Third Proportional to 23,517.84 and 50,225.06

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Solution

The third proportional to 23,517.84 and 50,225.06 is: 107,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517.84 : 50,225.06 = 50,225.06 : x
  2. Step 2: Convert to fraction form
    23,517.84/50,225.06 = 50,225.06/x
  3. Step 3: Cross multiply
    23,517.84x = 50,225.06 × 50,225.06
  4. Step 4: Simplify right side
    23,517.84x = 2,522,556,903.13
  5. Step 5: Solve for x
    x = 2,522,556,903.13/23,517.84
  6. Step 6: Final answer
    x = 107,261.40

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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.