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Finding the Third Proportional to 34,819 and 50,737

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Solution

The third proportional to 34,819 and 50,737 is: 73,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,819 : 50,737 = 50,737 : x
  2. Step 2: Convert to fraction form
    34,819/50,737 = 50,737/x
  3. Step 3: Cross multiply
    34,819x = 50,737 × 50,737
  4. Step 4: Simplify right side
    34,819x = 2,574,243,169
  5. Step 5: Solve for x
    x = 2,574,243,169/34,819
  6. Step 6: Final answer
    x = 73,932.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.