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Finding the Third Proportional to 21,012.75 and 27,442.13

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Solution

The third proportional to 21,012.75 and 27,442.13 is: 35,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.75 : 27,442.13 = 27,442.13 : x
  2. Step 2: Convert to fraction form
    21,012.75/27,442.13 = 27,442.13/x
  3. Step 3: Cross multiply
    21,012.75x = 27,442.13 × 27,442.13
  4. Step 4: Simplify right side
    21,012.75x = 753,070,224.52
  5. Step 5: Solve for x
    x = 753,070,224.52/21,012.75
  6. Step 6: Final answer
    x = 35,838.73

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.