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Finding the Third Proportional to 35,201 and 52,806

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Solution

The third proportional to 35,201 and 52,806 is: 79,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,201 : 52,806 = 52,806 : x
  2. Step 2: Convert to fraction form
    35,201/52,806 = 52,806/x
  3. Step 3: Cross multiply
    35,201x = 52,806 × 52,806
  4. Step 4: Simplify right side
    35,201x = 2,788,473,636
  5. Step 5: Solve for x
    x = 2,788,473,636/35,201
  6. Step 6: Final answer
    x = 79,215.75

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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.