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Finding the Third Proportional to 8,216 and 19,714

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Solution

The third proportional to 8,216 and 19,714 is: 47,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 19,714 = 19,714 : x
  2. Step 2: Convert to fraction form
    8,216/19,714 = 19,714/x
  3. Step 3: Cross multiply
    8,216x = 19,714 × 19,714
  4. Step 4: Simplify right side
    8,216x = 388,641,796
  5. Step 5: Solve for x
    x = 388,641,796/8,216
  6. Step 6: Final answer
    x = 47,303.04

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.