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Finding the Third Proportional to 20,032 and 46,424

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Solution

The third proportional to 20,032 and 46,424 is: 107,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032 : 46,424 = 46,424 : x
  2. Step 2: Convert to fraction form
    20,032/46,424 = 46,424/x
  3. Step 3: Cross multiply
    20,032x = 46,424 × 46,424
  4. Step 4: Simplify right side
    20,032x = 2,155,187,776
  5. Step 5: Solve for x
    x = 2,155,187,776/20,032
  6. Step 6: Final answer
    x = 107,587.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.