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Finding the Third Proportional to 3,025 and 5,402

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Solution

The third proportional to 3,025 and 5,402 is: 9,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025 : 5,402 = 5,402 : x
  2. Step 2: Convert to fraction form
    3,025/5,402 = 5,402/x
  3. Step 3: Cross multiply
    3,025x = 5,402 × 5,402
  4. Step 4: Simplify right side
    3,025x = 29,181,604
  5. Step 5: Solve for x
    x = 29,181,604/3,025
  6. Step 6: Final answer
    x = 9,646.81

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.