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Finding the Third Proportional to 17,078 and 25,962.50

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Solution

The third proportional to 17,078 and 25,962.50 is: 39,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078 : 25,962.50 = 25,962.50 : x
  2. Step 2: Convert to fraction form
    17,078/25,962.50 = 25,962.50/x
  3. Step 3: Cross multiply
    17,078x = 25,962.50 × 25,962.50
  4. Step 4: Simplify right side
    17,078x = 674,051,406.25
  5. Step 5: Solve for x
    x = 674,051,406.25/17,078
  6. Step 6: Final answer
    x = 39,468.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.