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Finding the Third Proportional to 13,640 and 21,062

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Solution

The third proportional to 13,640 and 21,062 is: 32,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640 : 21,062 = 21,062 : x
  2. Step 2: Convert to fraction form
    13,640/21,062 = 21,062/x
  3. Step 3: Cross multiply
    13,640x = 21,062 × 21,062
  4. Step 4: Simplify right side
    13,640x = 443,607,844
  5. Step 5: Solve for x
    x = 443,607,844/13,640
  6. Step 6: Final answer
    x = 32,522.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.