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Finding the Third Proportional to 24,053 and 52,318

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Solution

The third proportional to 24,053 and 52,318 is: 113,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,053 : 52,318 = 52,318 : x
  2. Step 2: Convert to fraction form
    24,053/52,318 = 52,318/x
  3. Step 3: Cross multiply
    24,053x = 52,318 × 52,318
  4. Step 4: Simplify right side
    24,053x = 2,737,173,124
  5. Step 5: Solve for x
    x = 2,737,173,124/24,053
  6. Step 6: Final answer
    x = 113,797.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.