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Finding the Third Proportional to 26,308.50 and 39,493

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Solution

The third proportional to 26,308.50 and 39,493 is: 59,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,308.50 : 39,493 = 39,493 : x
  2. Step 2: Convert to fraction form
    26,308.50/39,493 = 39,493/x
  3. Step 3: Cross multiply
    26,308.50x = 39,493 × 39,493
  4. Step 4: Simplify right side
    26,308.50x = 1,559,697,049
  5. Step 5: Solve for x
    x = 1,559,697,049/26,308.50
  6. Step 6: Final answer
    x = 59,284.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.