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Finding the Third Proportional to 19,720 and 42,600

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Solution

The third proportional to 19,720 and 42,600 is: 92,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720 : 42,600 = 42,600 : x
  2. Step 2: Convert to fraction form
    19,720/42,600 = 42,600/x
  3. Step 3: Cross multiply
    19,720x = 42,600 × 42,600
  4. Step 4: Simplify right side
    19,720x = 1,814,760,000
  5. Step 5: Solve for x
    x = 1,814,760,000/19,720
  6. Step 6: Final answer
    x = 92,026.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.