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Finding the Third Proportional to 13,040 and 20,024

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Solution

The third proportional to 13,040 and 20,024 is: 30,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040 : 20,024 = 20,024 : x
  2. Step 2: Convert to fraction form
    13,040/20,024 = 20,024/x
  3. Step 3: Cross multiply
    13,040x = 20,024 × 20,024
  4. Step 4: Simplify right side
    13,040x = 400,960,576
  5. Step 5: Solve for x
    x = 400,960,576/13,040
  6. Step 6: Final answer
    x = 30,748.51

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Why These Related Problems?

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