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Finding the Third Proportional to 14,998.50 and 26,777.25

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Solution

The third proportional to 14,998.50 and 26,777.25 is: 47,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,998.50 : 26,777.25 = 26,777.25 : x
  2. Step 2: Convert to fraction form
    14,998.50/26,777.25 = 26,777.25/x
  3. Step 3: Cross multiply
    14,998.50x = 26,777.25 × 26,777.25
  4. Step 4: Simplify right side
    14,998.50x = 717,021,117.56
  5. Step 5: Solve for x
    x = 717,021,117.56/14,998.50
  6. Step 6: Final answer
    x = 47,806.19

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.