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Finding the Third Proportional to 14,107.50 and 30,642

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Solution

The third proportional to 14,107.50 and 30,642 is: 66,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.50 : 30,642 = 30,642 : x
  2. Step 2: Convert to fraction form
    14,107.50/30,642 = 30,642/x
  3. Step 3: Cross multiply
    14,107.50x = 30,642 × 30,642
  4. Step 4: Simplify right side
    14,107.50x = 938,932,164
  5. Step 5: Solve for x
    x = 938,932,164/14,107.50
  6. Step 6: Final answer
    x = 66,555.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.