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Finding the Third Proportional to 35,017 and 52,402

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Solution

The third proportional to 35,017 and 52,402 is: 78,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,017 : 52,402 = 52,402 : x
  2. Step 2: Convert to fraction form
    35,017/52,402 = 52,402/x
  3. Step 3: Cross multiply
    35,017x = 52,402 × 52,402
  4. Step 4: Simplify right side
    35,017x = 2,745,969,604
  5. Step 5: Solve for x
    x = 2,745,969,604/35,017
  6. Step 6: Final answer
    x = 78,418.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.