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Finding the Third Proportional to 16,210.13 and 20,538.56

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Solution

The third proportional to 16,210.13 and 20,538.56 is: 26,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.13 : 20,538.56 = 20,538.56 : x
  2. Step 2: Convert to fraction form
    16,210.13/20,538.56 = 20,538.56/x
  3. Step 3: Cross multiply
    16,210.13x = 20,538.56 × 20,538.56
  4. Step 4: Simplify right side
    16,210.13x = 421,832,549.57
  5. Step 5: Solve for x
    x = 421,832,549.57/16,210.13
  6. Step 6: Final answer
    x = 26,022.78

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.