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Finding the Third Proportional to 19,938 and 43,710

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Solution

The third proportional to 19,938 and 43,710 is: 95,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,938 : 43,710 = 43,710 : x
  2. Step 2: Convert to fraction form
    19,938/43,710 = 43,710/x
  3. Step 3: Cross multiply
    19,938x = 43,710 × 43,710
  4. Step 4: Simplify right side
    19,938x = 1,910,564,100
  5. Step 5: Solve for x
    x = 1,910,564,100/19,938
  6. Step 6: Final answer
    x = 95,825.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.