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Finding the Third Proportional to 27,350 and 59,804

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Solution

The third proportional to 27,350 and 59,804 is: 130,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,350 : 59,804 = 59,804 : x
  2. Step 2: Convert to fraction form
    27,350/59,804 = 59,804/x
  3. Step 3: Cross multiply
    27,350x = 59,804 × 59,804
  4. Step 4: Simplify right side
    27,350x = 3,576,518,416
  5. Step 5: Solve for x
    x = 3,576,518,416/27,350
  6. Step 6: Final answer
    x = 130,768.50

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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.