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Finding the Third Proportional to 34,819 and 74,875

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Solution

The third proportional to 34,819 and 74,875 is: 161,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,819 : 74,875 = 74,875 : x
  2. Step 2: Convert to fraction form
    34,819/74,875 = 74,875/x
  3. Step 3: Cross multiply
    34,819x = 74,875 × 74,875
  4. Step 4: Simplify right side
    34,819x = 5,606,265,625
  5. Step 5: Solve for x
    x = 5,606,265,625/34,819
  6. Step 6: Final answer
    x = 161,011.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.