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Finding the Third Proportional to 31,698.75 and 49,056

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Solution

The third proportional to 31,698.75 and 49,056 is: 75,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.75 : 49,056 = 49,056 : x
  2. Step 2: Convert to fraction form
    31,698.75/49,056 = 49,056/x
  3. Step 3: Cross multiply
    31,698.75x = 49,056 × 49,056
  4. Step 4: Simplify right side
    31,698.75x = 2,406,491,136
  5. Step 5: Solve for x
    x = 2,406,491,136/31,698.75
  6. Step 6: Final answer
    x = 75,917.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.