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Finding the Third Proportional to 17,600 and 28,128

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Solution

The third proportional to 17,600 and 28,128 is: 44,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600 : 28,128 = 28,128 : x
  2. Step 2: Convert to fraction form
    17,600/28,128 = 28,128/x
  3. Step 3: Cross multiply
    17,600x = 28,128 × 28,128
  4. Step 4: Simplify right side
    17,600x = 791,184,384
  5. Step 5: Solve for x
    x = 791,184,384/17,600
  6. Step 6: Final answer
    x = 44,953.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.