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Finding the Third Proportional to 21,366 and 46,753

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Solution

The third proportional to 21,366 and 46,753 is: 102,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,366 : 46,753 = 46,753 : x
  2. Step 2: Convert to fraction form
    21,366/46,753 = 46,753/x
  3. Step 3: Cross multiply
    21,366x = 46,753 × 46,753
  4. Step 4: Simplify right side
    21,366x = 2,185,843,009
  5. Step 5: Solve for x
    x = 2,185,843,009/21,366
  6. Step 6: Final answer
    x = 102,304.74

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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.