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Finding the Third Proportional to 20,051 and 28,253

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Solution

The third proportional to 20,051 and 28,253 is: 39,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051 : 28,253 = 28,253 : x
  2. Step 2: Convert to fraction form
    20,051/28,253 = 28,253/x
  3. Step 3: Cross multiply
    20,051x = 28,253 × 28,253
  4. Step 4: Simplify right side
    20,051x = 798,232,009
  5. Step 5: Solve for x
    x = 798,232,009/20,051
  6. Step 6: Final answer
    x = 39,810.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.