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Finding the Third Proportional to 26,358.75 and 39,496.50

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Solution

The third proportional to 26,358.75 and 39,496.50 is: 59,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358.75 : 39,496.50 = 39,496.50 : x
  2. Step 2: Convert to fraction form
    26,358.75/39,496.50 = 39,496.50/x
  3. Step 3: Cross multiply
    26,358.75x = 39,496.50 × 39,496.50
  4. Step 4: Simplify right side
    26,358.75x = 1,559,973,512.25
  5. Step 5: Solve for x
    x = 1,559,973,512.25/26,358.75
  6. Step 6: Final answer
    x = 59,182.38

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