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Finding the Third Proportional to 24,392 and 52,240

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Solution

The third proportional to 24,392 and 52,240 is: 111,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392 : 52,240 = 52,240 : x
  2. Step 2: Convert to fraction form
    24,392/52,240 = 52,240/x
  3. Step 3: Cross multiply
    24,392x = 52,240 × 52,240
  4. Step 4: Simplify right side
    24,392x = 2,729,017,600
  5. Step 5: Solve for x
    x = 2,729,017,600/24,392
  6. Step 6: Final answer
    x = 111,881.67

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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.