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Finding the Third Proportional to 31,808 and 42,056

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Solution

The third proportional to 31,808 and 42,056 is: 55,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808 : 42,056 = 42,056 : x
  2. Step 2: Convert to fraction form
    31,808/42,056 = 42,056/x
  3. Step 3: Cross multiply
    31,808x = 42,056 × 42,056
  4. Step 4: Simplify right side
    31,808x = 1,768,707,136
  5. Step 5: Solve for x
    x = 1,768,707,136/31,808
  6. Step 6: Final answer
    x = 55,605.73

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.