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Finding the Third Proportional to 26,813.25 and 42,522.75

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Solution

The third proportional to 26,813.25 and 42,522.75 is: 67,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,813.25 : 42,522.75 = 42,522.75 : x
  2. Step 2: Convert to fraction form
    26,813.25/42,522.75 = 42,522.75/x
  3. Step 3: Cross multiply
    26,813.25x = 42,522.75 × 42,522.75
  4. Step 4: Simplify right side
    26,813.25x = 1,808,184,267.56
  5. Step 5: Solve for x
    x = 1,808,184,267.56/26,813.25
  6. Step 6: Final answer
    x = 67,436.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.