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Finding the Third Proportional to 21,780 and 47,714

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Solution

The third proportional to 21,780 and 47,714 is: 104,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780 : 47,714 = 47,714 : x
  2. Step 2: Convert to fraction form
    21,780/47,714 = 47,714/x
  3. Step 3: Cross multiply
    21,780x = 47,714 × 47,714
  4. Step 4: Simplify right side
    21,780x = 2,276,625,796
  5. Step 5: Solve for x
    x = 2,276,625,796/21,780
  6. Step 6: Final answer
    x = 104,528.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.