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Finding the Third Proportional to 26,429 and 36,241.50

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Solution

The third proportional to 26,429 and 36,241.50 is: 49,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,429 : 36,241.50 = 36,241.50 : x
  2. Step 2: Convert to fraction form
    26,429/36,241.50 = 36,241.50/x
  3. Step 3: Cross multiply
    26,429x = 36,241.50 × 36,241.50
  4. Step 4: Simplify right side
    26,429x = 1,313,446,322.25
  5. Step 5: Solve for x
    x = 1,313,446,322.25/26,429
  6. Step 6: Final answer
    x = 49,697.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.