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Finding the Third Proportional to 4,551.75 and 6,890.63

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Solution

The third proportional to 4,551.75 and 6,890.63 is: 10,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.75 : 6,890.63 = 6,890.63 : x
  2. Step 2: Convert to fraction form
    4,551.75/6,890.63 = 6,890.63/x
  3. Step 3: Cross multiply
    4,551.75x = 6,890.63 × 6,890.63
  4. Step 4: Simplify right side
    4,551.75x = 47,480,712.89
  5. Step 5: Solve for x
    x = 47,480,712.89/4,551.75
  6. Step 6: Final answer
    x = 10,431.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.