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Finding the Third Proportional to 34,509 and 75,477

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Solution

The third proportional to 34,509 and 75,477 is: 165,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509 : 75,477 = 75,477 : x
  2. Step 2: Convert to fraction form
    34,509/75,477 = 75,477/x
  3. Step 3: Cross multiply
    34,509x = 75,477 × 75,477
  4. Step 4: Simplify right side
    34,509x = 5,696,777,529
  5. Step 5: Solve for x
    x = 5,696,777,529/34,509
  6. Step 6: Final answer
    x = 165,080.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.