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Finding the Third Proportional to 27,345 and 60,035

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Solution

The third proportional to 27,345 and 60,035 is: 131,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,345 : 60,035 = 60,035 : x
  2. Step 2: Convert to fraction form
    27,345/60,035 = 60,035/x
  3. Step 3: Cross multiply
    27,345x = 60,035 × 60,035
  4. Step 4: Simplify right side
    27,345x = 3,604,201,225
  5. Step 5: Solve for x
    x = 3,604,201,225/27,345
  6. Step 6: Final answer
    x = 131,804.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.