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Finding the Third Proportional to 15,147 and 23,200.50

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Solution

The third proportional to 15,147 and 23,200.50 is: 35,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147 : 23,200.50 = 23,200.50 : x
  2. Step 2: Convert to fraction form
    15,147/23,200.50 = 23,200.50/x
  3. Step 3: Cross multiply
    15,147x = 23,200.50 × 23,200.50
  4. Step 4: Simplify right side
    15,147x = 538,263,200.25
  5. Step 5: Solve for x
    x = 538,263,200.25/15,147
  6. Step 6: Final answer
    x = 35,535.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.