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Finding the Third Proportional to 8,433.75 and 12,342.75

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Solution

The third proportional to 8,433.75 and 12,342.75 is: 18,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.75 : 12,342.75 = 12,342.75 : x
  2. Step 2: Convert to fraction form
    8,433.75/12,342.75 = 12,342.75/x
  3. Step 3: Cross multiply
    8,433.75x = 12,342.75 × 12,342.75
  4. Step 4: Simplify right side
    8,433.75x = 152,343,477.56
  5. Step 5: Solve for x
    x = 152,343,477.56/8,433.75
  6. Step 6: Final answer
    x = 18,063.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.