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Finding the Third Proportional to 35,271 and 52,902

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Solution

The third proportional to 35,271 and 52,902 is: 79,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,271 : 52,902 = 52,902 : x
  2. Step 2: Convert to fraction form
    35,271/52,902 = 52,902/x
  3. Step 3: Cross multiply
    35,271x = 52,902 × 52,902
  4. Step 4: Simplify right side
    35,271x = 2,798,621,604
  5. Step 5: Solve for x
    x = 2,798,621,604/35,271
  6. Step 6: Final answer
    x = 79,346.25

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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.