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Finding the Third Proportional to 18,127 and 37,230

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Solution

The third proportional to 18,127 and 37,230 is: 76,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,127 : 37,230 = 37,230 : x
  2. Step 2: Convert to fraction form
    18,127/37,230 = 37,230/x
  3. Step 3: Cross multiply
    18,127x = 37,230 × 37,230
  4. Step 4: Simplify right side
    18,127x = 1,386,072,900
  5. Step 5: Solve for x
    x = 1,386,072,900/18,127
  6. Step 6: Final answer
    x = 76,464.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.