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Finding the Third Proportional to 29,757.38 and 46,056.09

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Solution

The third proportional to 29,757.38 and 46,056.09 is: 71,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757.38 : 46,056.09 = 46,056.09 : x
  2. Step 2: Convert to fraction form
    29,757.38/46,056.09 = 46,056.09/x
  3. Step 3: Cross multiply
    29,757.38x = 46,056.09 × 46,056.09
  4. Step 4: Simplify right side
    29,757.38x = 2,121,163,771.51
  5. Step 5: Solve for x
    x = 2,121,163,771.51/29,757.38
  6. Step 6: Final answer
    x = 71,281.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.