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Finding the Third Proportional to 20,896 and 47,312

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Solution

The third proportional to 20,896 and 47,312 is: 107,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896 : 47,312 = 47,312 : x
  2. Step 2: Convert to fraction form
    20,896/47,312 = 47,312/x
  3. Step 3: Cross multiply
    20,896x = 47,312 × 47,312
  4. Step 4: Simplify right side
    20,896x = 2,238,425,344
  5. Step 5: Solve for x
    x = 2,238,425,344/20,896
  6. Step 6: Final answer
    x = 107,122.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.