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Finding the Third Proportional to 14,422 and 21,085.50

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Solution

The third proportional to 14,422 and 21,085.50 is: 30,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422 : 21,085.50 = 21,085.50 : x
  2. Step 2: Convert to fraction form
    14,422/21,085.50 = 21,085.50/x
  3. Step 3: Cross multiply
    14,422x = 21,085.50 × 21,085.50
  4. Step 4: Simplify right side
    14,422x = 444,598,310.25
  5. Step 5: Solve for x
    x = 444,598,310.25/14,422
  6. Step 6: Final answer
    x = 30,827.78

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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.