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Finding the Third Proportional to 35,636 and 75,277

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Solution

The third proportional to 35,636 and 75,277 is: 159,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,636 : 75,277 = 75,277 : x
  2. Step 2: Convert to fraction form
    35,636/75,277 = 75,277/x
  3. Step 3: Cross multiply
    35,636x = 75,277 × 75,277
  4. Step 4: Simplify right side
    35,636x = 5,666,626,729
  5. Step 5: Solve for x
    x = 5,666,626,729/35,636
  6. Step 6: Final answer
    x = 159,014.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.