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Finding the Third Proportional to 20,216 and 46,681

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Solution

The third proportional to 20,216 and 46,681 is: 107,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216 : 46,681 = 46,681 : x
  2. Step 2: Convert to fraction form
    20,216/46,681 = 46,681/x
  3. Step 3: Cross multiply
    20,216x = 46,681 × 46,681
  4. Step 4: Simplify right side
    20,216x = 2,179,115,761
  5. Step 5: Solve for x
    x = 2,179,115,761/20,216
  6. Step 6: Final answer
    x = 107,791.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.