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Finding the Third Proportional to 30,776.63 and 46,195.31

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Solution

The third proportional to 30,776.63 and 46,195.31 is: 69,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.63 : 46,195.31 = 46,195.31 : x
  2. Step 2: Convert to fraction form
    30,776.63/46,195.31 = 46,195.31/x
  3. Step 3: Cross multiply
    30,776.63x = 46,195.31 × 46,195.31
  4. Step 4: Simplify right side
    30,776.63x = 2,134,006,896.97
  5. Step 5: Solve for x
    x = 2,134,006,896.97/30,776.63
  6. Step 6: Final answer
    x = 69,338.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.