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Finding the Third Proportional to 13,840 and 22,024

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Solution

The third proportional to 13,840 and 22,024 is: 35,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840 : 22,024 = 22,024 : x
  2. Step 2: Convert to fraction form
    13,840/22,024 = 22,024/x
  3. Step 3: Cross multiply
    13,840x = 22,024 × 22,024
  4. Step 4: Simplify right side
    13,840x = 485,056,576
  5. Step 5: Solve for x
    x = 485,056,576/13,840
  6. Step 6: Final answer
    x = 35,047.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.