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Finding the Third Proportional to 24,548 and 52,015

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Solution

The third proportional to 24,548 and 52,015 is: 110,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548 : 52,015 = 52,015 : x
  2. Step 2: Convert to fraction form
    24,548/52,015 = 52,015/x
  3. Step 3: Cross multiply
    24,548x = 52,015 × 52,015
  4. Step 4: Simplify right side
    24,548x = 2,705,560,225
  5. Step 5: Solve for x
    x = 2,705,560,225/24,548
  6. Step 6: Final answer
    x = 110,215.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.