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Finding the Third Proportional to 22,042 and 47,972

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Solution

The third proportional to 22,042 and 47,972 is: 104,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,042 : 47,972 = 47,972 : x
  2. Step 2: Convert to fraction form
    22,042/47,972 = 47,972/x
  3. Step 3: Cross multiply
    22,042x = 47,972 × 47,972
  4. Step 4: Simplify right side
    22,042x = 2,301,312,784
  5. Step 5: Solve for x
    x = 2,301,312,784/22,042
  6. Step 6: Final answer
    x = 104,405.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.