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Finding the Third Proportional to 30,761.09 and 46,170.47

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Solution

The third proportional to 30,761.09 and 46,170.47 is: 69,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.09 : 46,170.47 = 46,170.47 : x
  2. Step 2: Convert to fraction form
    30,761.09/46,170.47 = 46,170.47/x
  3. Step 3: Cross multiply
    30,761.09x = 46,170.47 × 46,170.47
  4. Step 4: Simplify right side
    30,761.09x = 2,131,712,725.65
  5. Step 5: Solve for x
    x = 2,131,712,725.65/30,761.09
  6. Step 6: Final answer
    x = 69,298.99

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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.