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Finding the Third Proportional to 40,972 and 55,608

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Solution

The third proportional to 40,972 and 55,608 is: 75,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,972 : 55,608 = 55,608 : x
  2. Step 2: Convert to fraction form
    40,972/55,608 = 55,608/x
  3. Step 3: Cross multiply
    40,972x = 55,608 × 55,608
  4. Step 4: Simplify right side
    40,972x = 3,092,249,664
  5. Step 5: Solve for x
    x = 3,092,249,664/40,972
  6. Step 6: Final answer
    x = 75,472.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.