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Finding the Third Proportional to 27,294.75 and 59,664.38

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Solution

The third proportional to 27,294.75 and 59,664.38 is: 130,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294.75 : 59,664.38 = 59,664.38 : x
  2. Step 2: Convert to fraction form
    27,294.75/59,664.38 = 59,664.38/x
  3. Step 3: Cross multiply
    27,294.75x = 59,664.38 × 59,664.38
  4. Step 4: Simplify right side
    27,294.75x = 3,559,837,644.14
  5. Step 5: Solve for x
    x = 3,559,837,644.14/27,294.75
  6. Step 6: Final answer
    x = 130,422.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.