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Finding the Third Proportional to 1,603.55 and 3,700.69

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Solution

The third proportional to 1,603.55 and 3,700.69 is: 8,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.55 : 3,700.69 = 3,700.69 : x
  2. Step 2: Convert to fraction form
    1,603.55/3,700.69 = 3,700.69/x
  3. Step 3: Cross multiply
    1,603.55x = 3,700.69 × 3,700.69
  4. Step 4: Simplify right side
    1,603.55x = 13,695,087.97
  5. Step 5: Solve for x
    x = 13,695,087.97/1,603.55
  6. Step 6: Final answer
    x = 8,540.50

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.