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Finding the Third Proportional to 21,618.56 and 27,623.53

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Solution

The third proportional to 21,618.56 and 27,623.53 is: 35,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,618.56 : 27,623.53 = 27,623.53 : x
  2. Step 2: Convert to fraction form
    21,618.56/27,623.53 = 27,623.53/x
  3. Step 3: Cross multiply
    21,618.56x = 27,623.53 × 27,623.53
  4. Step 4: Simplify right side
    21,618.56x = 763,059,478.72
  5. Step 5: Solve for x
    x = 763,059,478.72/21,618.56
  6. Step 6: Final answer
    x = 35,296.49

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.