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Finding the Third Proportional to 24,527.75 and 52,975.25

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Solution

The third proportional to 24,527.75 and 52,975.25 is: 114,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.75 : 52,975.25 = 52,975.25 : x
  2. Step 2: Convert to fraction form
    24,527.75/52,975.25 = 52,975.25/x
  3. Step 3: Cross multiply
    24,527.75x = 52,975.25 × 52,975.25
  4. Step 4: Simplify right side
    24,527.75x = 2,806,377,112.56
  5. Step 5: Solve for x
    x = 2,806,377,112.56/24,527.75
  6. Step 6: Final answer
    x = 114,416.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.