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Finding the Third Proportional to 23,145.75 and 31,290.05

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Solution

The third proportional to 23,145.75 and 31,290.05 is: 42,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.75 : 31,290.05 = 31,290.05 : x
  2. Step 2: Convert to fraction form
    23,145.75/31,290.05 = 31,290.05/x
  3. Step 3: Cross multiply
    23,145.75x = 31,290.05 × 31,290.05
  4. Step 4: Simplify right side
    23,145.75x = 979,067,033.44
  5. Step 5: Solve for x
    x = 979,067,033.44/23,145.75
  6. Step 6: Final answer
    x = 42,300.08

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.