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Finding the Third Proportional to 19,656 and 31,536

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Solution

The third proportional to 19,656 and 31,536 is: 50,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656 : 31,536 = 31,536 : x
  2. Step 2: Convert to fraction form
    19,656/31,536 = 31,536/x
  3. Step 3: Cross multiply
    19,656x = 31,536 × 31,536
  4. Step 4: Simplify right side
    19,656x = 994,519,296
  5. Step 5: Solve for x
    x = 994,519,296/19,656
  6. Step 6: Final answer
    x = 50,596.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.