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Finding the Third Proportional to 21,972 and 34,050

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Solution

The third proportional to 21,972 and 34,050 is: 52,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972 : 34,050 = 34,050 : x
  2. Step 2: Convert to fraction form
    21,972/34,050 = 34,050/x
  3. Step 3: Cross multiply
    21,972x = 34,050 × 34,050
  4. Step 4: Simplify right side
    21,972x = 1,159,402,500
  5. Step 5: Solve for x
    x = 1,159,402,500/21,972
  6. Step 6: Final answer
    x = 52,767.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.