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Finding the Third Proportional to 8,145 and 18,928.50

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Solution

The third proportional to 8,145 and 18,928.50 is: 43,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145 : 18,928.50 = 18,928.50 : x
  2. Step 2: Convert to fraction form
    8,145/18,928.50 = 18,928.50/x
  3. Step 3: Cross multiply
    8,145x = 18,928.50 × 18,928.50
  4. Step 4: Simplify right side
    8,145x = 358,288,112.25
  5. Step 5: Solve for x
    x = 358,288,112.25/8,145
  6. Step 6: Final answer
    x = 43,988.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.