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Finding the Third Proportional to 20,043 and 26,203.50

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Solution

The third proportional to 20,043 and 26,203.50 is: 34,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043 : 26,203.50 = 26,203.50 : x
  2. Step 2: Convert to fraction form
    20,043/26,203.50 = 26,203.50/x
  3. Step 3: Cross multiply
    20,043x = 26,203.50 × 26,203.50
  4. Step 4: Simplify right side
    20,043x = 686,623,412.25
  5. Step 5: Solve for x
    x = 686,623,412.25/20,043
  6. Step 6: Final answer
    x = 34,257.52

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.