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Finding the Third Proportional to 31,331.25 and 45,268.88

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Solution

The third proportional to 31,331.25 and 45,268.88 is: 65,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,331.25 : 45,268.88 = 45,268.88 : x
  2. Step 2: Convert to fraction form
    31,331.25/45,268.88 = 45,268.88/x
  3. Step 3: Cross multiply
    31,331.25x = 45,268.88 × 45,268.88
  4. Step 4: Simplify right side
    31,331.25x = 2,049,271,043.77
  5. Step 5: Solve for x
    x = 2,049,271,043.77/31,331.25
  6. Step 6: Final answer
    x = 65,406.62

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.