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Finding the Third Proportional to 17,406 and 27,148.50

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Solution

The third proportional to 17,406 and 27,148.50 is: 42,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406 : 27,148.50 = 27,148.50 : x
  2. Step 2: Convert to fraction form
    17,406/27,148.50 = 27,148.50/x
  3. Step 3: Cross multiply
    17,406x = 27,148.50 × 27,148.50
  4. Step 4: Simplify right side
    17,406x = 737,041,052.25
  5. Step 5: Solve for x
    x = 737,041,052.25/17,406
  6. Step 6: Final answer
    x = 42,344.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.