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Finding the Third Proportional to 5,833.69 and 9,276.19

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Solution

The third proportional to 5,833.69 and 9,276.19 is: 14,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.69 : 9,276.19 = 9,276.19 : x
  2. Step 2: Convert to fraction form
    5,833.69/9,276.19 = 9,276.19/x
  3. Step 3: Cross multiply
    5,833.69x = 9,276.19 × 9,276.19
  4. Step 4: Simplify right side
    5,833.69x = 86,047,654.54
  5. Step 5: Solve for x
    x = 86,047,654.54/5,833.69
  6. Step 6: Final answer
    x = 14,750.13

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Why These Related Problems?

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