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Finding the Third Proportional to 21,550 and 34,270

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Solution

The third proportional to 21,550 and 34,270 is: 54,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,550 : 34,270 = 34,270 : x
  2. Step 2: Convert to fraction form
    21,550/34,270 = 34,270/x
  3. Step 3: Cross multiply
    21,550x = 34,270 × 34,270
  4. Step 4: Simplify right side
    21,550x = 1,174,432,900
  5. Step 5: Solve for x
    x = 1,174,432,900/21,550
  6. Step 6: Final answer
    x = 54,498.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.