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Finding the Third Proportional to 12,539 and 19,056

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Solution

The third proportional to 12,539 and 19,056 is: 28,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,539 : 19,056 = 19,056 : x
  2. Step 2: Convert to fraction form
    12,539/19,056 = 19,056/x
  3. Step 3: Cross multiply
    12,539x = 19,056 × 19,056
  4. Step 4: Simplify right side
    12,539x = 363,131,136
  5. Step 5: Solve for x
    x = 363,131,136/12,539
  6. Step 6: Final answer
    x = 28,960.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.