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Finding the Third Proportional to 19,578 and 28,056

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Solution

The third proportional to 19,578 and 28,056 is: 40,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578 : 28,056 = 28,056 : x
  2. Step 2: Convert to fraction form
    19,578/28,056 = 28,056/x
  3. Step 3: Cross multiply
    19,578x = 28,056 × 28,056
  4. Step 4: Simplify right side
    19,578x = 787,139,136
  5. Step 5: Solve for x
    x = 787,139,136/19,578
  6. Step 6: Final answer
    x = 40,205.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.