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Finding the Third Proportional to 19,801.50 and 26,900.25

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Solution

The third proportional to 19,801.50 and 26,900.25 is: 36,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.50 : 26,900.25 = 26,900.25 : x
  2. Step 2: Convert to fraction form
    19,801.50/26,900.25 = 26,900.25/x
  3. Step 3: Cross multiply
    19,801.50x = 26,900.25 × 26,900.25
  4. Step 4: Simplify right side
    19,801.50x = 723,623,450.06
  5. Step 5: Solve for x
    x = 723,623,450.06/19,801.50
  6. Step 6: Final answer
    x = 36,543.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.