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Finding the Third Proportional to 31,012.88 and 46,443.38

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Solution

The third proportional to 31,012.88 and 46,443.38 is: 69,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.88 : 46,443.38 = 46,443.38 : x
  2. Step 2: Convert to fraction form
    31,012.88/46,443.38 = 46,443.38/x
  3. Step 3: Cross multiply
    31,012.88x = 46,443.38 × 46,443.38
  4. Step 4: Simplify right side
    31,012.88x = 2,156,987,081.39
  5. Step 5: Solve for x
    x = 2,156,987,081.39/31,012.88
  6. Step 6: Final answer
    x = 69,551.34

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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.