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Finding the Third Proportional to 23,020 and 49,318

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Solution

The third proportional to 23,020 and 49,318 is: 105,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020 : 49,318 = 49,318 : x
  2. Step 2: Convert to fraction form
    23,020/49,318 = 49,318/x
  3. Step 3: Cross multiply
    23,020x = 49,318 × 49,318
  4. Step 4: Simplify right side
    23,020x = 2,432,265,124
  5. Step 5: Solve for x
    x = 2,432,265,124/23,020
  6. Step 6: Final answer
    x = 105,658.78

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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.