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Finding the Third Proportional to 19,896 and 31,737

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Solution

The third proportional to 19,896 and 31,737 is: 50,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896 : 31,737 = 31,737 : x
  2. Step 2: Convert to fraction form
    19,896/31,737 = 31,737/x
  3. Step 3: Cross multiply
    19,896x = 31,737 × 31,737
  4. Step 4: Simplify right side
    19,896x = 1,007,237,169
  5. Step 5: Solve for x
    x = 1,007,237,169/19,896
  6. Step 6: Final answer
    x = 50,625.11

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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.