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Finding the Third Proportional to 14,266 and 20,870.75

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Solution

The third proportional to 14,266 and 20,870.75 is: 30,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266 : 20,870.75 = 20,870.75 : x
  2. Step 2: Convert to fraction form
    14,266/20,870.75 = 20,870.75/x
  3. Step 3: Cross multiply
    14,266x = 20,870.75 × 20,870.75
  4. Step 4: Simplify right side
    14,266x = 435,588,205.56
  5. Step 5: Solve for x
    x = 435,588,205.56/14,266
  6. Step 6: Final answer
    x = 30,533.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.