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Finding the Third Proportional to 25,832 and 59,804

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Solution

The third proportional to 25,832 and 59,804 is: 138,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832 : 59,804 = 59,804 : x
  2. Step 2: Convert to fraction form
    25,832/59,804 = 59,804/x
  3. Step 3: Cross multiply
    25,832x = 59,804 × 59,804
  4. Step 4: Simplify right side
    25,832x = 3,576,518,416
  5. Step 5: Solve for x
    x = 3,576,518,416/25,832
  6. Step 6: Final answer
    x = 138,453.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.