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Finding the Third Proportional to 30,709 and 46,883

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Solution

The third proportional to 30,709 and 46,883 is: 71,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709 : 46,883 = 46,883 : x
  2. Step 2: Convert to fraction form
    30,709/46,883 = 46,883/x
  3. Step 3: Cross multiply
    30,709x = 46,883 × 46,883
  4. Step 4: Simplify right side
    30,709x = 2,198,015,689
  5. Step 5: Solve for x
    x = 2,198,015,689/30,709
  6. Step 6: Final answer
    x = 71,575.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.