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Finding the Third Proportional to 18,505 and 40,526

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Solution

The third proportional to 18,505 and 40,526 is: 88,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505 : 40,526 = 40,526 : x
  2. Step 2: Convert to fraction form
    18,505/40,526 = 40,526/x
  3. Step 3: Cross multiply
    18,505x = 40,526 × 40,526
  4. Step 4: Simplify right side
    18,505x = 1,642,356,676
  5. Step 5: Solve for x
    x = 1,642,356,676/18,505
  6. Step 6: Final answer
    x = 88,752.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.