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Finding the Third Proportional to 10,943.54 and 23,975.84

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Solution

The third proportional to 10,943.54 and 23,975.84 is: 52,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.54 : 23,975.84 = 23,975.84 : x
  2. Step 2: Convert to fraction form
    10,943.54/23,975.84 = 23,975.84/x
  3. Step 3: Cross multiply
    10,943.54x = 23,975.84 × 23,975.84
  4. Step 4: Simplify right side
    10,943.54x = 574,840,989.87
  5. Step 5: Solve for x
    x = 574,840,989.87/10,943.54
  6. Step 6: Final answer
    x = 52,527.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.