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Finding the Third Proportional to 12,040 and 16,402

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Solution

The third proportional to 12,040 and 16,402 is: 22,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,040 : 16,402 = 16,402 : x
  2. Step 2: Convert to fraction form
    12,040/16,402 = 16,402/x
  3. Step 3: Cross multiply
    12,040x = 16,402 × 16,402
  4. Step 4: Simplify right side
    12,040x = 269,025,604
  5. Step 5: Solve for x
    x = 269,025,604/12,040
  6. Step 6: Final answer
    x = 22,344.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.