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Finding the Third Proportional to 1,658.81 and 3,904.03

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Solution

The third proportional to 1,658.81 and 3,904.03 is: 9,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.81 : 3,904.03 = 3,904.03 : x
  2. Step 2: Convert to fraction form
    1,658.81/3,904.03 = 3,904.03/x
  3. Step 3: Cross multiply
    1,658.81x = 3,904.03 × 3,904.03
  4. Step 4: Simplify right side
    1,658.81x = 15,241,460.00
  5. Step 5: Solve for x
    x = 15,241,460.00/1,658.81
  6. Step 6: Final answer
    x = 9,188.18

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.