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Finding the Third Proportional to 23,202 and 49,536

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Solution

The third proportional to 23,202 and 49,536 is: 105,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202 : 49,536 = 49,536 : x
  2. Step 2: Convert to fraction form
    23,202/49,536 = 49,536/x
  3. Step 3: Cross multiply
    23,202x = 49,536 × 49,536
  4. Step 4: Simplify right side
    23,202x = 2,453,815,296
  5. Step 5: Solve for x
    x = 2,453,815,296/23,202
  6. Step 6: Final answer
    x = 105,758.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.