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Finding the Third Proportional to 24,482 and 52,851

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Solution

The third proportional to 24,482 and 52,851 is: 114,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482 : 52,851 = 52,851 : x
  2. Step 2: Convert to fraction form
    24,482/52,851 = 52,851/x
  3. Step 3: Cross multiply
    24,482x = 52,851 × 52,851
  4. Step 4: Simplify right side
    24,482x = 2,793,228,201
  5. Step 5: Solve for x
    x = 2,793,228,201/24,482
  6. Step 6: Final answer
    x = 114,093.14

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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.