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Finding the Third Proportional to 31,882.50 and 46,851.75

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Solution

The third proportional to 31,882.50 and 46,851.75 is: 68,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.50 : 46,851.75 = 46,851.75 : x
  2. Step 2: Convert to fraction form
    31,882.50/46,851.75 = 46,851.75/x
  3. Step 3: Cross multiply
    31,882.50x = 46,851.75 × 46,851.75
  4. Step 4: Simplify right side
    31,882.50x = 2,195,086,478.06
  5. Step 5: Solve for x
    x = 2,195,086,478.06/31,882.50
  6. Step 6: Final answer
    x = 68,849.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.