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Finding the Third Proportional to 24,870 and 54,396

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Solution

The third proportional to 24,870 and 54,396 is: 118,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870 : 54,396 = 54,396 : x
  2. Step 2: Convert to fraction form
    24,870/54,396 = 54,396/x
  3. Step 3: Cross multiply
    24,870x = 54,396 × 54,396
  4. Step 4: Simplify right side
    24,870x = 2,958,924,816
  5. Step 5: Solve for x
    x = 2,958,924,816/24,870
  6. Step 6: Final answer
    x = 118,975.67

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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.