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Finding the Third Proportional to 30,617 and 46,831

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Solution

The third proportional to 30,617 and 46,831 is: 71,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617 : 46,831 = 46,831 : x
  2. Step 2: Convert to fraction form
    30,617/46,831 = 46,831/x
  3. Step 3: Cross multiply
    30,617x = 46,831 × 46,831
  4. Step 4: Simplify right side
    30,617x = 2,193,142,561
  5. Step 5: Solve for x
    x = 2,193,142,561/30,617
  6. Step 6: Final answer
    x = 71,631.53

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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.