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Finding the Third Proportional to 21,285 and 49,714.50

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Solution

The third proportional to 21,285 and 49,714.50 is: 116,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285 : 49,714.50 = 49,714.50 : x
  2. Step 2: Convert to fraction form
    21,285/49,714.50 = 49,714.50/x
  3. Step 3: Cross multiply
    21,285x = 49,714.50 × 49,714.50
  4. Step 4: Simplify right side
    21,285x = 2,471,531,510.25
  5. Step 5: Solve for x
    x = 2,471,531,510.25/21,285
  6. Step 6: Final answer
    x = 116,116.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.