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Finding the Third Proportional to 19,200 and 28,652

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Solution

The third proportional to 19,200 and 28,652 is: 42,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 28,652 = 28,652 : x
  2. Step 2: Convert to fraction form
    19,200/28,652 = 28,652/x
  3. Step 3: Cross multiply
    19,200x = 28,652 × 28,652
  4. Step 4: Simplify right side
    19,200x = 820,937,104
  5. Step 5: Solve for x
    x = 820,937,104/19,200
  6. Step 6: Final answer
    x = 42,757.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.