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Finding the Third Proportional to 17,027 and 28,139.50

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Solution

The third proportional to 17,027 and 28,139.50 is: 46,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,027 : 28,139.50 = 28,139.50 : x
  2. Step 2: Convert to fraction form
    17,027/28,139.50 = 28,139.50/x
  3. Step 3: Cross multiply
    17,027x = 28,139.50 × 28,139.50
  4. Step 4: Simplify right side
    17,027x = 791,831,460.25
  5. Step 5: Solve for x
    x = 791,831,460.25/17,027
  6. Step 6: Final answer
    x = 46,504.46

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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.