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Finding the Third Proportional to 31,111.50 and 46,891.50

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Solution

The third proportional to 31,111.50 and 46,891.50 is: 70,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.50 : 46,891.50 = 46,891.50 : x
  2. Step 2: Convert to fraction form
    31,111.50/46,891.50 = 46,891.50/x
  3. Step 3: Cross multiply
    31,111.50x = 46,891.50 × 46,891.50
  4. Step 4: Simplify right side
    31,111.50x = 2,198,812,772.25
  5. Step 5: Solve for x
    x = 2,198,812,772.25/31,111.50
  6. Step 6: Final answer
    x = 70,675.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.