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Finding the Third Proportional to 23,214 and 49,706

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Solution

The third proportional to 23,214 and 49,706 is: 106,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214 : 49,706 = 49,706 : x
  2. Step 2: Convert to fraction form
    23,214/49,706 = 49,706/x
  3. Step 3: Cross multiply
    23,214x = 49,706 × 49,706
  4. Step 4: Simplify right side
    23,214x = 2,470,686,436
  5. Step 5: Solve for x
    x = 2,470,686,436/23,214
  6. Step 6: Final answer
    x = 106,430.88

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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.