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Finding the Third Proportional to 18,840 and 30,114

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Solution

The third proportional to 18,840 and 30,114 is: 48,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,840 : 30,114 = 30,114 : x
  2. Step 2: Convert to fraction form
    18,840/30,114 = 30,114/x
  3. Step 3: Cross multiply
    18,840x = 30,114 × 30,114
  4. Step 4: Simplify right side
    18,840x = 906,852,996
  5. Step 5: Solve for x
    x = 906,852,996/18,840
  6. Step 6: Final answer
    x = 48,134.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.