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Finding the Third Proportional to 18,370 and 42,144

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Solution

The third proportional to 18,370 and 42,144 is: 96,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,370 : 42,144 = 42,144 : x
  2. Step 2: Convert to fraction form
    18,370/42,144 = 42,144/x
  3. Step 3: Cross multiply
    18,370x = 42,144 × 42,144
  4. Step 4: Simplify right side
    18,370x = 1,776,116,736
  5. Step 5: Solve for x
    x = 1,776,116,736/18,370
  6. Step 6: Final answer
    x = 96,685.72

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.