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Finding the Third Proportional to 17,028 and 28,140

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Solution

The third proportional to 17,028 and 28,140 is: 46,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,028 : 28,140 = 28,140 : x
  2. Step 2: Convert to fraction form
    17,028/28,140 = 28,140/x
  3. Step 3: Cross multiply
    17,028x = 28,140 × 28,140
  4. Step 4: Simplify right side
    17,028x = 791,859,600
  5. Step 5: Solve for x
    x = 791,859,600/17,028
  6. Step 6: Final answer
    x = 46,503.38

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.