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Finding the Third Proportional to 5,807.44 and 9,228.94

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Solution

The third proportional to 5,807.44 and 9,228.94 is: 14,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.44 : 9,228.94 = 9,228.94 : x
  2. Step 2: Convert to fraction form
    5,807.44/9,228.94 = 9,228.94/x
  3. Step 3: Cross multiply
    5,807.44x = 9,228.94 × 9,228.94
  4. Step 4: Simplify right side
    5,807.44x = 85,173,287.38
  5. Step 5: Solve for x
    x = 85,173,287.38/5,807.44
  6. Step 6: Final answer
    x = 14,666.24

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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.