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Finding the Third Proportional to 14,397 and 21,943.50

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Solution

The third proportional to 14,397 and 21,943.50 is: 33,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397 : 21,943.50 = 21,943.50 : x
  2. Step 2: Convert to fraction form
    14,397/21,943.50 = 21,943.50/x
  3. Step 3: Cross multiply
    14,397x = 21,943.50 × 21,943.50
  4. Step 4: Simplify right side
    14,397x = 481,517,192.25
  5. Step 5: Solve for x
    x = 481,517,192.25/14,397
  6. Step 6: Final answer
    x = 33,445.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.