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Finding the Third Proportional to 19,420 and 45,652

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Solution

The third proportional to 19,420 and 45,652 is: 107,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,420 : 45,652 = 45,652 : x
  2. Step 2: Convert to fraction form
    19,420/45,652 = 45,652/x
  3. Step 3: Cross multiply
    19,420x = 45,652 × 45,652
  4. Step 4: Simplify right side
    19,420x = 2,084,105,104
  5. Step 5: Solve for x
    x = 2,084,105,104/19,420
  6. Step 6: Final answer
    x = 107,317.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.