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Finding the Third Proportional to 20,277 and 26,014.50

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Solution

The third proportional to 20,277 and 26,014.50 is: 33,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277 : 26,014.50 = 26,014.50 : x
  2. Step 2: Convert to fraction form
    20,277/26,014.50 = 26,014.50/x
  3. Step 3: Cross multiply
    20,277x = 26,014.50 × 26,014.50
  4. Step 4: Simplify right side
    20,277x = 676,754,210.25
  5. Step 5: Solve for x
    x = 676,754,210.25/20,277
  6. Step 6: Final answer
    x = 33,375.46

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.