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Finding the Third Proportional to 19,724 and 43,102

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Solution

The third proportional to 19,724 and 43,102 is: 94,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724 : 43,102 = 43,102 : x
  2. Step 2: Convert to fraction form
    19,724/43,102 = 43,102/x
  3. Step 3: Cross multiply
    19,724x = 43,102 × 43,102
  4. Step 4: Simplify right side
    19,724x = 1,857,782,404
  5. Step 5: Solve for x
    x = 1,857,782,404/19,724
  6. Step 6: Final answer
    x = 94,188.93

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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.