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Finding the Third Proportional to 20,418 and 30,746

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Solution

The third proportional to 20,418 and 30,746 is: 46,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,418 : 30,746 = 30,746 : x
  2. Step 2: Convert to fraction form
    20,418/30,746 = 30,746/x
  3. Step 3: Cross multiply
    20,418x = 30,746 × 30,746
  4. Step 4: Simplify right side
    20,418x = 945,316,516
  5. Step 5: Solve for x
    x = 945,316,516/20,418
  6. Step 6: Final answer
    x = 46,298.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.