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Finding the Third Proportional to 5,833.69 and 9,358.03

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Solution

The third proportional to 5,833.69 and 9,358.03 is: 15,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.69 : 9,358.03 = 9,358.03 : x
  2. Step 2: Convert to fraction form
    5,833.69/9,358.03 = 9,358.03/x
  3. Step 3: Cross multiply
    5,833.69x = 9,358.03 × 9,358.03
  4. Step 4: Simplify right side
    5,833.69x = 87,572,748.88
  5. Step 5: Solve for x
    x = 87,572,748.88/5,833.69
  6. Step 6: Final answer
    x = 15,011.56

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.