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Finding the Third Proportional to 19,268 and 40,056

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Solution

The third proportional to 19,268 and 40,056 is: 83,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,268 : 40,056 = 40,056 : x
  2. Step 2: Convert to fraction form
    19,268/40,056 = 40,056/x
  3. Step 3: Cross multiply
    19,268x = 40,056 × 40,056
  4. Step 4: Simplify right side
    19,268x = 1,604,483,136
  5. Step 5: Solve for x
    x = 1,604,483,136/19,268
  6. Step 6: Final answer
    x = 83,271.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.