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Finding the Third Proportional to 17,406 and 25,364.50

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Solution

The third proportional to 17,406 and 25,364.50 is: 36,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406 : 25,364.50 = 25,364.50 : x
  2. Step 2: Convert to fraction form
    17,406/25,364.50 = 25,364.50/x
  3. Step 3: Cross multiply
    17,406x = 25,364.50 × 25,364.50
  4. Step 4: Simplify right side
    17,406x = 643,357,860.25
  5. Step 5: Solve for x
    x = 643,357,860.25/17,406
  6. Step 6: Final answer
    x = 36,961.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.