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Finding the Third Proportional to 17,347.50 and 27,648

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Solution

The third proportional to 17,347.50 and 27,648 is: 44,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,347.50 : 27,648 = 27,648 : x
  2. Step 2: Convert to fraction form
    17,347.50/27,648 = 27,648/x
  3. Step 3: Cross multiply
    17,347.50x = 27,648 × 27,648
  4. Step 4: Simplify right side
    17,347.50x = 764,411,904
  5. Step 5: Solve for x
    x = 764,411,904/17,347.50
  6. Step 6: Final answer
    x = 44,064.67

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.