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Finding the Third Proportional to 21,714.75 and 47,107.88

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Solution

The third proportional to 21,714.75 and 47,107.88 is: 102,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.75 : 47,107.88 = 47,107.88 : x
  2. Step 2: Convert to fraction form
    21,714.75/47,107.88 = 47,107.88/x
  3. Step 3: Cross multiply
    21,714.75x = 47,107.88 × 47,107.88
  4. Step 4: Simplify right side
    21,714.75x = 2,219,151,887.02
  5. Step 5: Solve for x
    x = 2,219,151,887.02/21,714.75
  6. Step 6: Final answer
    x = 102,195.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.