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Finding the Third Proportional to 5,289.87 and 7,746.94

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Solution

The third proportional to 5,289.87 and 7,746.94 is: 11,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.87 : 7,746.94 = 7,746.94 : x
  2. Step 2: Convert to fraction form
    5,289.87/7,746.94 = 7,746.94/x
  3. Step 3: Cross multiply
    5,289.87x = 7,746.94 × 7,746.94
  4. Step 4: Simplify right side
    5,289.87x = 60,015,042.05
  5. Step 5: Solve for x
    x = 60,015,042.05/5,289.87
  6. Step 6: Final answer
    x = 11,345.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.