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Finding the Third Proportional to 27,302 and 59,695

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Solution

The third proportional to 27,302 and 59,695 is: 130,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302 : 59,695 = 59,695 : x
  2. Step 2: Convert to fraction form
    27,302/59,695 = 59,695/x
  3. Step 3: Cross multiply
    27,302x = 59,695 × 59,695
  4. Step 4: Simplify right side
    27,302x = 3,563,493,025
  5. Step 5: Solve for x
    x = 3,563,493,025/27,302
  6. Step 6: Final answer
    x = 130,521.32

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Why These Related Problems?

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