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Finding the Third Proportional to 1,473.75 and 3,200.63

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Solution

The third proportional to 1,473.75 and 3,200.63 is: 6,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.75 : 3,200.63 = 3,200.63 : x
  2. Step 2: Convert to fraction form
    1,473.75/3,200.63 = 3,200.63/x
  3. Step 3: Cross multiply
    1,473.75x = 3,200.63 × 3,200.63
  4. Step 4: Simplify right side
    1,473.75x = 10,244,000.39
  5. Step 5: Solve for x
    x = 10,244,000.39/1,473.75
  6. Step 6: Final answer
    x = 6,950.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.