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Finding the Third Proportional to 26,427 and 35,230.50

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Solution

The third proportional to 26,427 and 35,230.50 is: 46,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,427 : 35,230.50 = 35,230.50 : x
  2. Step 2: Convert to fraction form
    26,427/35,230.50 = 35,230.50/x
  3. Step 3: Cross multiply
    26,427x = 35,230.50 × 35,230.50
  4. Step 4: Simplify right side
    26,427x = 1,241,188,130.25
  5. Step 5: Solve for x
    x = 1,241,188,130.25/26,427
  6. Step 6: Final answer
    x = 46,966.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.