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Finding the Third Proportional to 18,636 and 26,052

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Solution

The third proportional to 18,636 and 26,052 is: 36,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,636 : 26,052 = 26,052 : x
  2. Step 2: Convert to fraction form
    18,636/26,052 = 26,052/x
  3. Step 3: Cross multiply
    18,636x = 26,052 × 26,052
  4. Step 4: Simplify right side
    18,636x = 678,706,704
  5. Step 5: Solve for x
    x = 678,706,704/18,636
  6. Step 6: Final answer
    x = 36,419.12

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Why These Related Problems?

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