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Finding the Third Proportional to 13,056 and 15,856

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Solution

The third proportional to 13,056 and 15,856 is: 19,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,056 : 15,856 = 15,856 : x
  2. Step 2: Convert to fraction form
    13,056/15,856 = 15,856/x
  3. Step 3: Cross multiply
    13,056x = 15,856 × 15,856
  4. Step 4: Simplify right side
    13,056x = 251,412,736
  5. Step 5: Solve for x
    x = 251,412,736/13,056
  6. Step 6: Final answer
    x = 19,256.49

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.