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Finding the Third Proportional to 19,580 and 43,642

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Solution

The third proportional to 19,580 and 43,642 is: 97,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580 : 43,642 = 43,642 : x
  2. Step 2: Convert to fraction form
    19,580/43,642 = 43,642/x
  3. Step 3: Cross multiply
    19,580x = 43,642 × 43,642
  4. Step 4: Simplify right side
    19,580x = 1,904,624,164
  5. Step 5: Solve for x
    x = 1,904,624,164/19,580
  6. Step 6: Final answer
    x = 97,273.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.