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Finding the Third Proportional to 13,074 and 18,735

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Solution

The third proportional to 13,074 and 18,735 is: 26,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074 : 18,735 = 18,735 : x
  2. Step 2: Convert to fraction form
    13,074/18,735 = 18,735/x
  3. Step 3: Cross multiply
    13,074x = 18,735 × 18,735
  4. Step 4: Simplify right side
    13,074x = 351,000,225
  5. Step 5: Solve for x
    x = 351,000,225/13,074
  6. Step 6: Final answer
    x = 26,847.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.