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Finding the Third Proportional to 22,176 and 31,056

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Solution

The third proportional to 22,176 and 31,056 is: 43,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,176 : 31,056 = 31,056 : x
  2. Step 2: Convert to fraction form
    22,176/31,056 = 31,056/x
  3. Step 3: Cross multiply
    22,176x = 31,056 × 31,056
  4. Step 4: Simplify right side
    22,176x = 964,475,136
  5. Step 5: Solve for x
    x = 964,475,136/22,176
  6. Step 6: Final answer
    x = 43,491.84

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.