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Finding the Third Proportional to 18,600 and 26,015

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Solution

The third proportional to 18,600 and 26,015 is: 36,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,600 : 26,015 = 26,015 : x
  2. Step 2: Convert to fraction form
    18,600/26,015 = 26,015/x
  3. Step 3: Cross multiply
    18,600x = 26,015 × 26,015
  4. Step 4: Simplify right side
    18,600x = 676,780,225
  5. Step 5: Solve for x
    x = 676,780,225/18,600
  6. Step 6: Final answer
    x = 36,386.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.