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Finding the Third Proportional to 20,140 and 30,623

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Solution

The third proportional to 20,140 and 30,623 is: 46,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140 : 30,623 = 30,623 : x
  2. Step 2: Convert to fraction form
    20,140/30,623 = 30,623/x
  3. Step 3: Cross multiply
    20,140x = 30,623 × 30,623
  4. Step 4: Simplify right side
    20,140x = 937,768,129
  5. Step 5: Solve for x
    x = 937,768,129/20,140
  6. Step 6: Final answer
    x = 46,562.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.